It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 007 is not a prime number.
For example, 165 007 can be divided by 157: 165 007 / 157 = 1 051.
For 165 007 to be a prime number, it would have been required that 165 007 has only two divisors, i.e., itself and 1.
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165 007 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 165 007 is about 406.211.
Thus, the square root of 165 007 is not an integer, and therefore 165 007 is not a square number.
The square of a number (here 165 007) is the result of the product of this number (165 007) by itself (i.e., 165 007 × 165 007); the square of 165 007 is sometimes called "raising 165 007 to the power 2", or "165 007 squared".
The square of 165 007 is 27 227 310 049 because 165 007 × 165 007 = 165 0072 = 27 227 310 049.
As a consequence, 165 007 is the square root of 27 227 310 049.
The multiples of 165 007 are all integers evenly divisible by 165 007, that is all numbers such that the remainder of the division by 165 007 is zero. There are infinitely many multiples of 165 007. The smallest multiples of 165 007 are: