It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 165 743 is not a prime number.
For example, 165 743 can be divided by 107: 165 743 / 107 = 1 549.
For 165 743 to be a prime number, it would have been required that 165 743 has only two divisors, i.e., itself and 1.
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165 743 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 165 743 is about 407.115.
Thus, the square root of 165 743 is not an integer, and therefore 165 743 is not a square number.
The square of a number (here 165 743) is the result of the product of this number (165 743) by itself (i.e., 165 743 × 165 743); the square of 165 743 is sometimes called "raising 165 743 to the power 2", or "165 743 squared".
The square of 165 743 is 27 470 742 049 because 165 743 × 165 743 = 165 7432 = 27 470 742 049.
As a consequence, 165 743 is the square root of 27 470 742 049.
The multiples of 165 743 are all integers evenly divisible by 165 743, that is all numbers such that the remainder of the division by 165 743 is zero. There are infinitely many multiples of 165 743. The smallest multiples of 165 743 are: