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729
729, cube of 9 and square of 27
I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.
4,096 = (64)2 = (16)3
For a number to be a perfect square and a perfect cube, it must be a perfect sixth power. Now 36 = 729 is too small and 56 = 15625 is too large, leaving 46 = 4096 as the answer.
729
4
729
There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
64. 64 = 82 = 43 26 = (23)2 = (22)3 = 64.
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
I believe there are 2 positive three-digit perfect cube numbers, that are even.