It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 23 701 is not a prime number.
For example, 23 701 can be divided by 137: 23 701 / 137 = 173.
For 23 701 to be a prime number, it would have been required that 23 701 has only two divisors, i.e., itself and 1.
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23 701 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 23 701 is about 153.951.
Thus, the square root of 23 701 is not an integer, and therefore 23 701 is not a square number.
The square of a number (here 23 701) is the result of the product of this number (23 701) by itself (i.e., 23 701 × 23 701); the square of 23 701 is sometimes called "raising 23 701 to the power 2", or "23 701 squared".
The square of 23 701 is 561 737 401 because 23 701 × 23 701 = 23 7012 = 561 737 401.
As a consequence, 23 701 is the square root of 561 737 401.
The multiples of 23 701 are all integers evenly divisible by 23 701, that is all numbers such that the remainder of the division by 23 701 is zero. There are infinitely many multiples of 23 701. The smallest multiples of 23 701 are: