It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 971 is not a prime number.
For example, 4 971 can be divided by 3: 4 971 / 3 = 1 657.
Find out more:
For 4 971 to be a prime number, it would have been required that 4 971 has only two divisors, i.e., itself and 1.
Find out more:
4 971 is an odd number, because it is not evenly divisible by 2.
Find out more:
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 4 971 is about 70.505.
Thus, the square root of 4 971 is not an integer, and therefore 4 971 is not a square number.
The square of a number (here 4 971) is the result of the product of this number (4 971) by itself (i.e., 4 971 × 4 971); the square of 4 971 is sometimes called "raising 4 971 to the power 2", or "4 971 squared".
The square of 4 971 is 24 710 841 because 4 971 × 4 971 = 4 9712 = 24 710 841.
As a consequence, 4 971 is the square root of 24 710 841.
The multiples of 4 971 are all integers evenly divisible by 4 971, that is all numbers such that the remainder of the division by 4 971 is zero. There are infinitely many multiples of 4 971. The smallest multiples of 4 971 are: