It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 968 977 is not a prime number.
For example, 968 977 can be divided by 29: 968 977 / 29 = 33 413.
For 968 977 to be a prime number, it would have been required that 968 977 has only two divisors, i.e., itself and 1.
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968 977 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 968 977 is about 984.366.
Thus, the square root of 968 977 is not an integer, and therefore 968 977 is not a square number.
The square of a number (here 968 977) is the result of the product of this number (968 977) by itself (i.e., 968 977 × 968 977); the square of 968 977 is sometimes called "raising 968 977 to the power 2", or "968 977 squared".
The square of 968 977 is 938 916 426 529 because 968 977 × 968 977 = 968 9772 = 938 916 426 529.
As a consequence, 968 977 is the square root of 938 916 426 529.
The multiples of 968 977 are all integers evenly divisible by 968 977, that is all numbers such that the remainder of the division by 968 977 is zero. There are infinitely many multiples of 968 977. The smallest multiples of 968 977 are: