Is 13971 a prime number?

13 971 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 13 971 is about 118.199.

Thus, the square root of 13 971 is not an integer, and therefore 13 971 is not a square number.

The square of a number (here 13 971) is the result of the product of this number (13 971) by itself (i.e., 13 971 × 13 971); the square of 13 971 is sometimes called "raising 13 971 to the power 2", or "13 971 squared".

The square of 13 971 is 195 188 841 because 13 971 × 13 971 = 13 971² = 195 188 841.

As a consequence, 13 971 is the square root of 195 188 841.

13 971 is a number with 5 digits.

The multiples of 13 971 are all integers evenly divisible by 13 971, that is all numbers such that the remainder of the division by 13 971 is zero. There are infinitely many multiples of 13 971. The smallest multiples of 13 971 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 971 too, since 0 × 13 971 = 0
• 13 971: indeed, 13 971 is a multiple of itself, since 13 971 is evenly divisible by 13 971 (we have 13 971 / 13 971 = 1, so the remainder of this division is indeed zero)
• 27 942: indeed, 27 942 = 13 971 × 2
• 41 913: indeed, 41 913 = 13 971 × 3
• 55 884: indeed, 55 884 = 13 971 × 4
• 69 855: indeed, 69 855 = 13 971 × 5
• etc.

• Preceding numbers: …13 969, 13 970
• Following numbers: 13 972, 13 973…

Nearest numbers from 13 971

• Preceding prime number: 13 967
• Following prime number: 13 997

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• 13 971 est-il un nombre premier ?