// #pragma GCC optimize("Ofast,unroll-loops")

#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <locale>
#include <map>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <unordered_set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>
#include <unordered_map>
#include <cmath>
#include <array>
#include <cassert>
#include <random>
#include <chrono>

using namespace std;

#define          BIT(i,j)  (((i)>>(j))&1LL)
#define           MASK(i)  (1LL<<(i))
#define            ALL(x)  (x).begin(),(x).end()
#define             SZ(x)  (int)(x).size()
#define                fi  first
#define                se  second
#define               ull  unsigned long long
#define                ll  long long
#define                ld  long double
#define                vi  vector<int>
#define               vvi  vector<vi>
#define              vvvi  vector<vvi>
#define               pii  pair<int,int>
#define              vpii  vector<pii>
#define             vvpii  vector<vpii>
#define              endl  "\n"
#define                MP  make_pair
#define               int  ll

//------------------------------------------------------------------------------------------------//
template<typename T1, typename T2> bool mini(T1 &a, T2 b){if(a>b){a=b;return true;}return false;}
template<typename T1, typename T2> bool maxi(T1 &a, T2 b){if(a<b){a=b;return true;}return false;}
template<typename T> T gcd(T a, T b) { while(b) { a %= b; swap(a,b); } return a; }
template<typename T> T lcm(T a, T b) { return a/gcd(a,b)*b; }
//-----------------------------------------------------------------------------------------------//
const  ll   LINF = 1e18;
const int    INF = 1e9;
const int    LOG = 20;
const int   MAXN = 5e5+7;
const int      N = 1e2+3;
const int    MOD = 998244353;
const int   BASE = 1e5;
const  ld    EPS = 1e-9;
const  ld     PI = acos(-1);
const int OFFSET = 1e3;
//------------------------------------------------------------------------------------------------//

void add(int &a, int b){
    a += b;
    if(a>=MOD) a -= MOD;
    if(a<0) a += MOD;
}

int POW(int a, int b){
    int res = 1;
    while(b){
        if(b&1) res = 1LL*res*a%MOD;
        a = 1LL*a*a%MOD;
        b /= 2;
    }
    return res;
}

map<int,int> dp;
int n;

int calc(int x){
    if(x==1) return 1;
    if(dp.count(x)) return dp[x];
    int &res = dp[x],cnt = 0;
    res = 0;
    // cerr << res << " " << x << " " << n << endl;
    for(int i = 1; i*i<=x; i++){
        if(x%i==0){
            add(res,-calc(i));
            if(x/i!=i) cnt += 2; else cnt += 1;
            if(i>1 && x/i!=i){
                add(res,-calc(x/i));
            }
        }
    }
    add(res,POW(cnt,n));
    return res;
}

void solve(){
    int m; cin >> n >> m;
    cout << calc(m);
}

signed main(){
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    #define task "test"
    if(fopen(task".inp","r")){
        freopen(task".inp","r",stdin);
        freopen(task".out","w",stdout);
    }
    #define task1 "nothing"
    if(fopen(task1".inp","r")){
        freopen(task1".inp","r",stdin);
        freopen(task1".out","w",stdout);
    }

    int test = 1;

    while(test--){
        solve();
    }
    cerr << "\nTime elapsed: " << 1000*clock()/CLOCKS_PER_SEC << "ms\n";
    return 0;
}

/**  /\_/\
 *  (= ._.)
 *  / >TL \>AC
**/