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What is a natural number called if it has exactly two distinct divisors?

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What is a natural number called if it has exactly two distinct divisors?
posted Jun 26, 2017 by Nimish

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If n is a good number, what is the minimum number of divisors that n^2 has?

We call a positive integer a "good number", if the product of all its divisors equals its cube.

For example, 12 is a good number, because the divisors of 12 are 1, 2, 3, 4, 6, 12, and 1*2*3*4*6*12=1728=12^3.

If n is a good number, what is the minimum number of divisors that n^2 has?

+1 vote
Guess me : There's a three digit number which: If you add seven to it it divides exactly by seven;If you add............

There's a three digit number which:
If you add seven to it it divides exactly by seven;
If you add eight to it it divides exactly by eight;
If you add nine to it it divides exactly by nine.
What is the number?

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