It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 507 is not a prime number.
For example, 165 507 can be divided by 3: 165 507 / 3 = 55 169.
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For 165 507 to be a prime number, it would have been required that 165 507 has only two divisors, i.e., itself and 1.
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165 507 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 165 507 is about 406.826.
Thus, the square root of 165 507 is not an integer, and therefore 165 507 is not a square number.
The square of a number (here 165 507) is the result of the product of this number (165 507) by itself (i.e., 165 507 × 165 507); the square of 165 507 is sometimes called "raising 165 507 to the power 2", or "165 507 squared".
The square of 165 507 is 27 392 567 049 because 165 507 × 165 507 = 165 5072 = 27 392 567 049.
As a consequence, 165 507 is the square root of 27 392 567 049.
The multiples of 165 507 are all integers evenly divisible by 165 507, that is all numbers such that the remainder of the division by 165 507 is zero. There are infinitely many multiples of 165 507. The smallest multiples of 165 507 are: