/*
    Keep It Simple!
*/
 
#include<stdio.h>
#include<iostream>

#define MOD 9973

int N,X,Erastothene[80000],cnt;
bool viz[1000000];


void InitEra()
{
	Erastothene[++cnt] = 2;
	for(int i=3; i<=1000000; i++)
	{
		if(!viz[i])
		{
			Erastothene[++cnt] = i;
			for(int j=i; j<=1000000; j+=i)
				viz[j] = 1;
		}
	}
}

int put(int a,int b)
{
	int r = 1;
	while(b)
	{
		if ( b%2 )
		{
			r*=a%MOD;
			b--;
		}
		a*=a%MOD;
		b/=2;
	}
	return r;
}

void Solve()
{
	int nrdt=0, nrd=1;
	int ns=1,nj=1;

	for(int i=1; i <= cnt && 1LL*Erastothene[i]*Erastothene[i] <= X; i++)
	{
		if(X%Erastothene[i] == 0)
		{
			nrdt = 0;
			while(X%Erastothene[i] == 0)	{ X/=Erastothene[i]; nrdt++; }
			nrd *= (nrdt+1);
			ns *= ( put(Erastothene[i],nrdt+1) -1 ) %MOD;
			nj *= (Erastothene[i]-1) % MOD;
		}
	}
	if(X > 1)
	{
		nrd*=2;
		ns *= (X+1)%MOD;
	}
   printf("%d %d\n",nrd,ns/nj);
}
int main()
{
	freopen("ssnd.in","r",stdin);
	freopen("ssnd.out","w",stdout);

	scanf("%d",&N);

	InitEra();

	for(int i=1; i<=N; i++)
	{
		scanf("%d",&X);
		Solve();
	}
}