It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 977 197 is not a prime number.
For example, 977 197 can be divided by 13: 977 197 / 13 = 75 169.
For 977 197 to be a prime number, it would have been required that 977 197 has only two divisors, i.e., itself and 1.
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977 197 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 977 197 is about 988.533.
Thus, the square root of 977 197 is not an integer, and therefore 977 197 is not a square number.
The square of a number (here 977 197) is the result of the product of this number (977 197) by itself (i.e., 977 197 × 977 197); the square of 977 197 is sometimes called "raising 977 197 to the power 2", or "977 197 squared".
The square of 977 197 is 954 913 976 809 because 977 197 × 977 197 = 977 1972 = 954 913 976 809.
As a consequence, 977 197 is the square root of 954 913 976 809.
The multiples of 977 197 are all integers evenly divisible by 977 197, that is all numbers such that the remainder of the division by 977 197 is zero. There are infinitely many multiples of 977 197. The smallest multiples of 977 197 are: