It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 977 401 is not a prime number.
For example, 977 401 can be divided by 619: 977 401 / 619 = 1 579.
For 977 401 to be a prime number, it would have been required that 977 401 has only two divisors, i.e., itself and 1.
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977 401 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 977 401 is about 988.636.
Thus, the square root of 977 401 is not an integer, and therefore 977 401 is not a square number.
The square of a number (here 977 401) is the result of the product of this number (977 401) by itself (i.e., 977 401 × 977 401); the square of 977 401 is sometimes called "raising 977 401 to the power 2", or "977 401 squared".
The square of 977 401 is 955 312 714 801 because 977 401 × 977 401 = 977 4012 = 955 312 714 801.
As a consequence, 977 401 is the square root of 955 312 714 801.
The multiples of 977 401 are all integers evenly divisible by 977 401, that is all numbers such that the remainder of the division by 977 401 is zero. There are infinitely many multiples of 977 401. The smallest multiples of 977 401 are: