Is 3975 a prime number?

3 975 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 3 975 is about 63.048.

Thus, the square root of 3 975 is not an integer, and therefore 3 975 is not a square number.

The square of a number (here 3 975) is the result of the product of this number (3 975) by itself (i.e., 3 975 × 3 975); the square of 3 975 is sometimes called "raising 3 975 to the power 2", or "3 975 squared".

The square of 3 975 is 15 800 625 because 3 975 × 3 975 = 3 975² = 15 800 625.

As a consequence, 3 975 is the square root of 15 800 625.

3 975 is a number with 4 digits.

The multiples of 3 975 are all integers evenly divisible by 3 975, that is all numbers such that the remainder of the division by 3 975 is zero. There are infinitely many multiples of 3 975. The smallest multiples of 3 975 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 975 too, since 0 × 3 975 = 0
• 3 975: indeed, 3 975 is a multiple of itself, since 3 975 is evenly divisible by 3 975 (we have 3 975 / 3 975 = 1, so the remainder of this division is indeed zero)
• 7 950: indeed, 7 950 = 3 975 × 2
• 11 925: indeed, 11 925 = 3 975 × 3
• 15 900: indeed, 15 900 = 3 975 × 4
• 19 875: indeed, 19 875 = 3 975 × 5
• etc.

• Preceding numbers: …3 973, 3 974
• Following numbers: 3 976, 3 977…

Nearest numbers from 3 975

• Preceding prime number: 3 967
• Following prime number: 3 989

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• 3 975 est-il un nombre premier ?