It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 729 is not a prime number.
For example, 165 729 can be divided by 3: 165 729 / 3 = 55 243.
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For 165 729 to be a prime number, it would have been required that 165 729 has only two divisors, i.e., itself and 1.
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165 729 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 165 729 is about 407.098.
Thus, the square root of 165 729 is not an integer, and therefore 165 729 is not a square number.
The square of a number (here 165 729) is the result of the product of this number (165 729) by itself (i.e., 165 729 × 165 729); the square of 165 729 is sometimes called "raising 165 729 to the power 2", or "165 729 squared".
The square of 165 729 is 27 466 101 441 because 165 729 × 165 729 = 165 7292 = 27 466 101 441.
As a consequence, 165 729 is the square root of 27 466 101 441.
The multiples of 165 729 are all integers evenly divisible by 165 729, that is all numbers such that the remainder of the division by 165 729 is zero. There are infinitely many multiples of 165 729. The smallest multiples of 165 729 are: