It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 409 is not a prime number.
For example, 165 409 can be divided by 251: 165 409 / 251 = 659.
For 165 409 to be a prime number, it would have been required that 165 409 has only two divisors, i.e., itself and 1.
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165 409 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 165 409 is about 406.705.
Thus, the square root of 165 409 is not an integer, and therefore 165 409 is not a square number.
The square of a number (here 165 409) is the result of the product of this number (165 409) by itself (i.e., 165 409 × 165 409); the square of 165 409 is sometimes called "raising 165 409 to the power 2", or "165 409 squared".
The square of 165 409 is 27 360 137 281 because 165 409 × 165 409 = 165 4092 = 27 360 137 281.
As a consequence, 165 409 is the square root of 27 360 137 281.
The multiples of 165 409 are all integers evenly divisible by 165 409, that is all numbers such that the remainder of the division by 165 409 is zero. There are infinitely many multiples of 165 409. The smallest multiples of 165 409 are: