It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 337 is not a prime number.
For example, 165 337 can be divided by 101: 165 337 / 101 = 1 637.
For 165 337 to be a prime number, it would have been required that 165 337 has only two divisors, i.e., itself and 1.
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165 337 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 165 337 is about 406.617.
Thus, the square root of 165 337 is not an integer, and therefore 165 337 is not a square number.
The square of a number (here 165 337) is the result of the product of this number (165 337) by itself (i.e., 165 337 × 165 337); the square of 165 337 is sometimes called "raising 165 337 to the power 2", or "165 337 squared".
The square of 165 337 is 27 336 323 569 because 165 337 × 165 337 = 165 3372 = 27 336 323 569.
As a consequence, 165 337 is the square root of 27 336 323 569.
The multiples of 165 337 are all integers evenly divisible by 165 337, that is all numbers such that the remainder of the division by 165 337 is zero. There are infinitely many multiples of 165 337. The smallest multiples of 165 337 are: