Is 2001 a prime number?

2 001 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 2 001 is about 44.733.

Thus, the square root of 2 001 is not an integer, and therefore 2 001 is not a square number.

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

The square of 2 001 is 4 004 001 because 2 001 × 2 001 = 2 001² = 4 004 001.

As a consequence, 2 001 is the square root of 4 004 001.

2 001 is a number with 4 digits.

The multiples of 2 001 are all integers evenly divisible by 2 001, that is all numbers such that the remainder of the division by 2 001 is zero. There are infinitely many multiples of 2 001. The smallest multiples of 2 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 001 too, since 0 × 2 001 = 0
• 2 001: indeed, 2 001 is a multiple of itself, since 2 001 is evenly divisible by 2 001 (we have 2 001 / 2 001 = 1, so the remainder of this division is indeed zero)
• 4 002: indeed, 4 002 = 2 001 × 2
• 6 003: indeed, 6 003 = 2 001 × 3
• 8 004: indeed, 8 004 = 2 001 × 4
• 10 005: indeed, 10 005 = 2 001 × 5
• etc.

• Preceding numbers: …1 999, 2 000
• Following numbers: 2 002, 2 003…

Nearest numbers from 2 001

• Preceding prime number: 1 999
• Following prime number: 2 003

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• 2 001 est-il un nombre premier ?