Is 1967 a prime number?

1 967 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 1 967 is about 44.351.

Thus, the square root of 1 967 is not an integer, and therefore 1 967 is not a square number.

The square of a number (here 1 967) is the result of the product of this number (1 967) by itself (i.e., 1 967 × 1 967); the square of 1 967 is sometimes called "raising 1 967 to the power 2", or "1 967 squared".

The square of 1 967 is 3 869 089 because 1 967 × 1 967 = 1 967² = 3 869 089.

As a consequence, 1 967 is the square root of 3 869 089.

1 967 is a number with 4 digits.

The multiples of 1 967 are all integers evenly divisible by 1 967, that is all numbers such that the remainder of the division by 1 967 is zero. There are infinitely many multiples of 1 967. The smallest multiples of 1 967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 967 too, since 0 × 1 967 = 0
• 1 967: indeed, 1 967 is a multiple of itself, since 1 967 is evenly divisible by 1 967 (we have 1 967 / 1 967 = 1, so the remainder of this division is indeed zero)
• 3 934: indeed, 3 934 = 1 967 × 2
• 5 901: indeed, 5 901 = 1 967 × 3
• 7 868: indeed, 7 868 = 1 967 × 4
• 9 835: indeed, 9 835 = 1 967 × 5
• etc.

• Preceding numbers: …1 965, 1 966
• Following numbers: 1 968, 1 969…

Nearest numbers from 1 967

• Preceding prime number: 1 951
• Following prime number: 1 973

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• 1 967 est-il un nombre premier ?