It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 723 is not a prime number.
For example, 644 723 can be divided by 149: 644 723 / 149 = 4 327.
For 644 723 to be a prime number, it would have been required that 644 723 has only two divisors, i.e., itself and 1.
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644 723 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 644 723 is about 802.946.
Thus, the square root of 644 723 is not an integer, and therefore 644 723 is not a square number.
The square of a number (here 644 723) is the result of the product of this number (644 723) by itself (i.e., 644 723 × 644 723); the square of 644 723 is sometimes called "raising 644 723 to the power 2", or "644 723 squared".
The square of 644 723 is 415 667 746 729 because 644 723 × 644 723 = 644 7232 = 415 667 746 729.
As a consequence, 644 723 is the square root of 415 667 746 729.
The multiples of 644 723 are all integers evenly divisible by 644 723, that is all numbers such that the remainder of the division by 644 723 is zero. There are infinitely many multiples of 644 723. The smallest multiples of 644 723 are: