**Properties of Perfect Cube Numbers**

1. All even natural number cubes are also even in nature.

2. All odd-number cubes are odd in nature.

3. The sum of the cubes of first natural numbers(n) is equal to the square of their sum.

(1+2+3+……+𝑛)²

4. The numerals ending in the same digit are known as cubes of the numbers 4, 5, 6, and 9.

Numbers that end in the digit 2 have cubes that end in the digit 8.

Numbers that end in the digit 8 have cubes that end in the digit 2.

Numbers that end in the digit 3 and 7 have cubes that end in the digits 7 and 3 respectively.

5. If a prime number p divides m, then p × p × p will divide m × m × m, i.e., p^{3 }will divide m3.

Thus, if a prime number p divides a perfect cube, then p^{3} also divides this perfect cube.