It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 97 971 is not a prime number.
For example, 97 971 can be divided by 3: 97 971 / 3 = 32 657.
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For 97 971 to be a prime number, it would have been required that 97 971 has only two divisors, i.e., itself and 1.
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97 971 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 97 971 is about 313.003.
Thus, the square root of 97 971 is not an integer, and therefore 97 971 is not a square number.
The square of a number (here 97 971) is the result of the product of this number (97 971) by itself (i.e., 97 971 × 97 971); the square of 97 971 is sometimes called "raising 97 971 to the power 2", or "97 971 squared".
The square of 97 971 is 9 598 316 841 because 97 971 × 97 971 = 97 9712 = 9 598 316 841.
As a consequence, 97 971 is the square root of 9 598 316 841.
The multiples of 97 971 are all integers evenly divisible by 97 971, that is all numbers such that the remainder of the division by 97 971 is zero. There are infinitely many multiples of 97 971. The smallest multiples of 97 971 are: