I am a single digit number.
The digits of the square
of my square
add up to my square.
Which number am I?

I am a single digit number.
The square of my cube is 64.
Which number am I?

I am a single digit number.
I am not zero.
A quarter of my cube
is my square.
Which number am I?

I am a two digit number.
My digits are not the same.
My left digit is a factor of my right digit.
I am the square of my right digit.
Which number am I?

I am the lowest three digit number for which the sum of my digits is equal to the product of my digits.
Which number am I?

I am a factor of a square number.
I am a factor of both of the digits
of the square number.
I am a factor of the sum of the digits
of the square number.
Which number am I?