Is 4957 a prime number?

4 957 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

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 4 957 is about 70.406.

Thus, the square root of 4 957 is not an integer, and therefore 4 957 is not a square number.

Anyway, 4 957 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 957) is the result of the product of this number (4 957) by itself (i.e., 4 957 × 4 957); the square of 4 957 is sometimes called "raising 4 957 to the power 2", or "4 957 squared".

The square of 4 957 is 24 571 849 because 4 957 × 4 957 = 4 957² = 24 571 849.

As a consequence, 4 957 is the square root of 24 571 849.

4 957 is a number with 4 digits.

The multiples of 4 957 are all integers evenly divisible by 4 957, that is all numbers such that the remainder of the division by 4 957 is zero. There are infinitely many multiples of 4 957. The smallest multiples of 4 957 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 957 too, since 0 × 4 957 = 0
• 4 957: indeed, 4 957 is a multiple of itself, since 4 957 is evenly divisible by 4 957 (we have 4 957 / 4 957 = 1, so the remainder of this division is indeed zero)
• 9 914: indeed, 9 914 = 4 957 × 2
• 14 871: indeed, 14 871 = 4 957 × 3
• 19 828: indeed, 19 828 = 4 957 × 4
• 24 785: indeed, 24 785 = 4 957 × 5
• etc.

• Preceding numbers: …4 955, 4 956
• Following numbers: 4 958, 4 959…

Nearest numbers from 4 957

• Preceding prime number: 4 951
• Following prime number: 4 967

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• 4 957 est-il un nombre premier ?