It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 209 is not a prime number.
For example, 165 209 can be divided by 11: 165 209 / 11 = 15 019.
For 165 209 to be a prime number, it would have been required that 165 209 has only two divisors, i.e., itself and 1.
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165 209 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 165 209 is about 406.459.
Thus, the square root of 165 209 is not an integer, and therefore 165 209 is not a square number.
The square of a number (here 165 209) is the result of the product of this number (165 209) by itself (i.e., 165 209 × 165 209); the square of 165 209 is sometimes called "raising 165 209 to the power 2", or "165 209 squared".
The square of 165 209 is 27 294 013 681 because 165 209 × 165 209 = 165 2092 = 27 294 013 681.
As a consequence, 165 209 is the square root of 27 294 013 681.
The multiples of 165 209 are all integers evenly divisible by 165 209, that is all numbers such that the remainder of the division by 165 209 is zero. There are infinitely many multiples of 165 209. The smallest multiples of 165 209 are: