#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <cstdio>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <unordered_set>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define _rep(i, n) _rep2(i, 0, n)
#define _rep2(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
using i64 = long long;
template<class T, class U>
bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; }
template<class T, class U>
bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; }
inline void YesNo(bool f) { std::cout << (f? "Yes": "No") << std::endl; }

template<typename T>istream& operator>>(istream&i,vector<T>&v){rep(j,v.size())i>>v[j];return i;}
template<typename T>string join(vector<T>&v){stringstream s;rep(i,v.size())s<<' '<<v[i];return s.str().substr(1);}
template<typename T>ostream& operator<<(ostream&o,vector<T>&v){if(v.size())o<<join(v);return o;}
template<typename T>string join(vector<vector<T>>&vv){string s="\n";rep(i,vv.size())s+=join(vv[i])+"\n";return s;}
template<typename T>ostream& operator<<(ostream&o,vector<vector<T>>&vv){if(vv.size())o<<join(vv);return o;}

template<class T>
vector<T> div(T x)
{
    vector<T> res;
    for(T i = 1; i * i <= x; i++)
    {
        if(x % i == 0)
        {
            res.push_back(i);
            if(i * i == x) break;
            res.push_back(x / i);
        }
    }
    sort(all(res));
    return res;
}

i64 mypow(i64 a, i64 b){
    i64 res = 1;
    while (b){
        if (b & 1) res *= a;
        a *= a;
        b >>= 1;
    }
    return res;
}

int main(){
    i64 n;
    cin >> n;
    if (n <= 2){
        cout << n + 1 << endl;
        return 0;
    }
    auto z = div(n);
    i64 ans = 1e18;
    for (auto i: z){
        i64 p = n / i - 1;
        if (p > i) chmin(ans, p);
    }
    for (i64 i = 2; i <= sqrt(n); i++){
        i64 p = 1 + i;
        for (i64 j = 2; ; j++){
            p += mypow(i, j);
            if (p > n) break;
            if (n % p == 0){
                i64 y = n / p;
                if (y < i){
                    cout << min(ans, i) << endl;
                    return 0;
                }
            }
        }
    }
    cout << ans << endl;
}