It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 977 331 is not a prime number.
For example, 977 331 can be divided by 3: 977 331 / 3 = 325 777.
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For 977 331 to be a prime number, it would have been required that 977 331 has only two divisors, i.e., itself and 1.
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977 331 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 977 331 is about 988.601.
Thus, the square root of 977 331 is not an integer, and therefore 977 331 is not a square number.
The square of a number (here 977 331) is the result of the product of this number (977 331) by itself (i.e., 977 331 × 977 331); the square of 977 331 is sometimes called "raising 977 331 to the power 2", or "977 331 squared".
The square of 977 331 is 955 175 883 561 because 977 331 × 977 331 = 977 3312 = 955 175 883 561.
As a consequence, 977 331 is the square root of 955 175 883 561.
The multiples of 977 331 are all integers evenly divisible by 977 331, that is all numbers such that the remainder of the division by 977 331 is zero. There are infinitely many multiples of 977 331. The smallest multiples of 977 331 are: