It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 623 is not a prime number.
For example, 644 623 can be divided by 7: 644 623 / 7 = 92 089.
For 644 623 to be a prime number, it would have been required that 644 623 has only two divisors, i.e., itself and 1.
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644 623 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 644 623 is about 802.884.
Thus, the square root of 644 623 is not an integer, and therefore 644 623 is not a square number.
The square of a number (here 644 623) is the result of the product of this number (644 623) by itself (i.e., 644 623 × 644 623); the square of 644 623 is sometimes called "raising 644 623 to the power 2", or "644 623 squared".
The square of 644 623 is 415 538 812 129 because 644 623 × 644 623 = 644 6232 = 415 538 812 129.
As a consequence, 644 623 is the square root of 415 538 812 129.
The multiples of 644 623 are all integers evenly divisible by 644 623, that is all numbers such that the remainder of the division by 644 623 is zero. There are infinitely many multiples of 644 623. The smallest multiples of 644 623 are: