It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 013 is not a prime number.
For example, 165 013 can be divided by 31: 165 013 / 31 = 5 323.
For 165 013 to be a prime number, it would have been required that 165 013 has only two divisors, i.e., itself and 1.
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165 013 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 165 013 is about 406.218.
Thus, the square root of 165 013 is not an integer, and therefore 165 013 is not a square number.
The square of a number (here 165 013) is the result of the product of this number (165 013) by itself (i.e., 165 013 × 165 013); the square of 165 013 is sometimes called "raising 165 013 to the power 2", or "165 013 squared".
The square of 165 013 is 27 229 290 169 because 165 013 × 165 013 = 165 0132 = 27 229 290 169.
As a consequence, 165 013 is the square root of 27 229 290 169.
The multiples of 165 013 are all integers evenly divisible by 165 013, that is all numbers such that the remainder of the division by 165 013 is zero. There are infinitely many multiples of 165 013. The smallest multiples of 165 013 are: