It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 32 729 is not a prime number.
For example, 32 729 can be divided by 23: 32 729 / 23 = 1 423.
For 32 729 to be a prime number, it would have been required that 32 729 has only two divisors, i.e., itself and 1.
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32 729 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 32 729 is about 180.912.
Thus, the square root of 32 729 is not an integer, and therefore 32 729 is not a square number.
The square of a number (here 32 729) is the result of the product of this number (32 729) by itself (i.e., 32 729 × 32 729); the square of 32 729 is sometimes called "raising 32 729 to the power 2", or "32 729 squared".
The square of 32 729 is 1 071 187 441 because 32 729 × 32 729 = 32 7292 = 1 071 187 441.
As a consequence, 32 729 is the square root of 1 071 187 441.
The multiples of 32 729 are all integers evenly divisible by 32 729, that is all numbers such that the remainder of the division by 32 729 is zero. There are infinitely many multiples of 32 729. The smallest multiples of 32 729 are: