It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 389 is not a prime number.
For example, 165 389 can be divided by 7: 165 389 / 7 = 23 627.
For 165 389 to be a prime number, it would have been required that 165 389 has only two divisors, i.e., itself and 1.
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165 389 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 165 389 is about 406.680.
Thus, the square root of 165 389 is not an integer, and therefore 165 389 is not a square number.
The square of a number (here 165 389) is the result of the product of this number (165 389) by itself (i.e., 165 389 × 165 389); the square of 165 389 is sometimes called "raising 165 389 to the power 2", or "165 389 squared".
The square of 165 389 is 27 353 521 321 because 165 389 × 165 389 = 165 3892 = 27 353 521 321.
As a consequence, 165 389 is the square root of 27 353 521 321.
The multiples of 165 389 are all integers evenly divisible by 165 389, that is all numbers such that the remainder of the division by 165 389 is zero. There are infinitely many multiples of 165 389. The smallest multiples of 165 389 are: