It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 097 is not a prime number.
For example, 165 097 can be divided by 29: 165 097 / 29 = 5 693.
For 165 097 to be a prime number, it would have been required that 165 097 has only two divisors, i.e., itself and 1.
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165 097 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 165 097 is about 406.321.
Thus, the square root of 165 097 is not an integer, and therefore 165 097 is not a square number.
The square of a number (here 165 097) is the result of the product of this number (165 097) by itself (i.e., 165 097 × 165 097); the square of 165 097 is sometimes called "raising 165 097 to the power 2", or "165 097 squared".
The square of 165 097 is 27 257 019 409 because 165 097 × 165 097 = 165 0972 = 27 257 019 409.
As a consequence, 165 097 is the square root of 27 257 019 409.
The multiples of 165 097 are all integers evenly divisible by 165 097, that is all numbers such that the remainder of the division by 165 097 is zero. There are infinitely many multiples of 165 097. The smallest multiples of 165 097 are: