It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 338 is not a prime number.
For example, 165 338 can be divided by 2: 165 338 / 2 = 82 669.
For 165 338 to be a prime number, it would have been required that 165 338 has only two divisors, i.e., itself and 1.
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165 338 is an even number, because it is evenly divisible by 2: 165 338 / 2 = 82 669.
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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 165 338 is about 406.618.
Thus, the square root of 165 338 is not an integer, and therefore 165 338 is not a square number.
The square of a number (here 165 338) is the result of the product of this number (165 338) by itself (i.e., 165 338 × 165 338); the square of 165 338 is sometimes called "raising 165 338 to the power 2", or "165 338 squared".
The square of 165 338 is 27 336 654 244 because 165 338 × 165 338 = 165 3382 = 27 336 654 244.
As a consequence, 165 338 is the square root of 27 336 654 244.
The multiples of 165 338 are all integers evenly divisible by 165 338, that is all numbers such that the remainder of the division by 165 338 is zero. There are infinitely many multiples of 165 338. The smallest multiples of 165 338 are: