It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 723 637 is not a prime number.
For example, 723 637 can be divided by 29: 723 637 / 29 = 24 953.
For 723 637 to be a prime number, it would have been required that 723 637 has only two divisors, i.e., itself and 1.
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723 637 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 723 637 is about 850.669.
Thus, the square root of 723 637 is not an integer, and therefore 723 637 is not a square number.
The square of a number (here 723 637) is the result of the product of this number (723 637) by itself (i.e., 723 637 × 723 637); the square of 723 637 is sometimes called "raising 723 637 to the power 2", or "723 637 squared".
The square of 723 637 is 523 650 507 769 because 723 637 × 723 637 = 723 6372 = 523 650 507 769.
As a consequence, 723 637 is the square root of 523 650 507 769.
The multiples of 723 637 are all integers evenly divisible by 723 637, that is all numbers such that the remainder of the division by 723 637 is zero. There are infinitely many multiples of 723 637. The smallest multiples of 723 637 are: