It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 508 is not a prime number.
For example, 165 508 can be divided by 2: 165 508 / 2 = 82 754.
For 165 508 to be a prime number, it would have been required that 165 508 has only two divisors, i.e., itself and 1.
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165 508 is an even number, because it is evenly divisible by 2: 165 508 / 2 = 82 754.
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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 165 508 is about 406.827.
Thus, the square root of 165 508 is not an integer, and therefore 165 508 is not a square number.
The square of a number (here 165 508) is the result of the product of this number (165 508) by itself (i.e., 165 508 × 165 508); the square of 165 508 is sometimes called "raising 165 508 to the power 2", or "165 508 squared".
The square of 165 508 is 27 392 898 064 because 165 508 × 165 508 = 165 5082 = 27 392 898 064.
As a consequence, 165 508 is the square root of 27 392 898 064.
The multiples of 165 508 are all integers evenly divisible by 165 508, that is all numbers such that the remainder of the division by 165 508 is zero. There are infinitely many multiples of 165 508. The smallest multiples of 165 508 are: