27, 64, 125, 216, 343, 512, 729
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To find all the perfect cube numbers from 1 to 1000, we need to determine the cube root of each number and check if it is an integer. The cube root of a number x is denoted as x^(1/3). We can find that the perfect cube numbers from 1 to 1000 are 1, 8, 27, 64, 125, 216, 343, 512, and 729. These numbers are the cubes of 1, 2, 3, 4, 5, 6, 7, 8, and 9 respectively.
512 is a not perfect square.
The cube root of -512 is: -8
The square roots of 262144 are 512 and -512.
512 has only one prime factor: 2