It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 165 167 is not a prime number.
For example, 5 165 167 can be divided by 7: 5 165 167 / 7 = 737 881.
For 5 165 167 to be a prime number, it would have been required that 5 165 167 has only two divisors, i.e., itself and 1.
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5 165 167 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 5 165 167 is about 2 272.700.
Thus, the square root of 5 165 167 is not an integer, and therefore 5 165 167 is not a square number.
The square of a number (here 5 165 167) is the result of the product of this number (5 165 167) by itself (i.e., 5 165 167 × 5 165 167); the square of 5 165 167 is sometimes called "raising 5 165 167 to the power 2", or "5 165 167 squared".
The square of 5 165 167 is 26 678 950 137 889 because 5 165 167 × 5 165 167 = 5 165 1672 = 26 678 950 137 889.
As a consequence, 5 165 167 is the square root of 26 678 950 137 889.
The multiples of 5 165 167 are all integers evenly divisible by 5 165 167, that is all numbers such that the remainder of the division by 5 165 167 is zero. There are infinitely many multiples of 5 165 167. The smallest multiples of 5 165 167 are: