It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 163 is not a prime number.
For example, 165 163 can be divided by 23: 165 163 / 23 = 7 181.
For 165 163 to be a prime number, it would have been required that 165 163 has only two divisors, i.e., itself and 1.
Find out more:
165 163 is an odd number, because it is not evenly divisible by 2.
Find out more:
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 165 163 is about 406.403.
Thus, the square root of 165 163 is not an integer, and therefore 165 163 is not a square number.
The square of a number (here 165 163) is the result of the product of this number (165 163) by itself (i.e., 165 163 × 165 163); the square of 165 163 is sometimes called "raising 165 163 to the power 2", or "165 163 squared".
The square of 165 163 is 27 278 816 569 because 165 163 × 165 163 = 165 1632 = 27 278 816 569.
As a consequence, 165 163 is the square root of 27 278 816 569.
The multiples of 165 163 are all integers evenly divisible by 165 163, that is all numbers such that the remainder of the division by 165 163 is zero. There are infinitely many multiples of 165 163. The smallest multiples of 165 163 are: