Is 1001 a prime number?

1 001 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 1 001 is about 31.639.

Thus, the square root of 1 001 is not an integer, and therefore 1 001 is not a square number.

The square of a number (here 1 001) is the result of the product of this number (1 001) by itself (i.e., 1 001 × 1 001); the square of 1 001 is sometimes called "raising 1 001 to the power 2", or "1 001 squared".

The square of 1 001 is 1 002 001 because 1 001 × 1 001 = 1 001² = 1 002 001.

As a consequence, 1 001 is the square root of 1 002 001.

1 001 is a number with 4 digits.

The multiples of 1 001 are all integers evenly divisible by 1 001, that is all numbers such that the remainder of the division by 1 001 is zero. There are infinitely many multiples of 1 001. The smallest multiples of 1 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 001 too, since 0 × 1 001 = 0
• 1 001: indeed, 1 001 is a multiple of itself, since 1 001 is evenly divisible by 1 001 (we have 1 001 / 1 001 = 1, so the remainder of this division is indeed zero)
• 2 002: indeed, 2 002 = 1 001 × 2
• 3 003: indeed, 3 003 = 1 001 × 3
• 4 004: indeed, 4 004 = 1 001 × 4
• 5 005: indeed, 5 005 = 1 001 × 5
• etc.

• Preceding numbers: …999, 1 000
• Following numbers: 1 002, 1 003…

Nearest numbers from 1 001

• Preceding prime number: 997
• Following prime number: 1 009

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• 1 001 est-il un nombre premier ?