It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 977 638 is not a prime number.
For example, 977 638 can be divided by 2: 977 638 / 2 = 488 819.
For 977 638 to be a prime number, it would have been required that 977 638 has only two divisors, i.e., itself and 1.
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977 638 is an even number, because it is evenly divisible by 2: 977 638 / 2 = 488 819.
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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 977 638 is about 988.756.
Thus, the square root of 977 638 is not an integer, and therefore 977 638 is not a square number.
The square of a number (here 977 638) is the result of the product of this number (977 638) by itself (i.e., 977 638 × 977 638); the square of 977 638 is sometimes called "raising 977 638 to the power 2", or "977 638 squared".
The square of 977 638 is 955 776 059 044 because 977 638 × 977 638 = 977 6382 = 955 776 059 044.
As a consequence, 977 638 is the square root of 955 776 059 044.
The multiples of 977 638 are all integers evenly divisible by 977 638, that is all numbers such that the remainder of the division by 977 638 is zero. There are infinitely many multiples of 977 638. The smallest multiples of 977 638 are: