Is 2011 a prime number?

2 011 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 2 011 is about 44.844.

Thus, the square root of 2 011 is not an integer, and therefore 2 011 is not a square number.

Anyway, 2 011 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 011) is the result of the product of this number (2 011) by itself (i.e., 2 011 × 2 011); the square of 2 011 is sometimes called "raising 2 011 to the power 2", or "2 011 squared".

The square of 2 011 is 4 044 121 because 2 011 × 2 011 = 2 011² = 4 044 121.

As a consequence, 2 011 is the square root of 4 044 121.

2 011 is a number with 4 digits.

The multiples of 2 011 are all integers evenly divisible by 2 011, that is all numbers such that the remainder of the division by 2 011 is zero. There are infinitely many multiples of 2 011. The smallest multiples of 2 011 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 011 too, since 0 × 2 011 = 0
• 2 011: indeed, 2 011 is a multiple of itself, since 2 011 is evenly divisible by 2 011 (we have 2 011 / 2 011 = 1, so the remainder of this division is indeed zero)
• 4 022: indeed, 4 022 = 2 011 × 2
• 6 033: indeed, 6 033 = 2 011 × 3
• 8 044: indeed, 8 044 = 2 011 × 4
• 10 055: indeed, 10 055 = 2 011 × 5
• etc.

• Preceding numbers: …2 009, 2 010
• Following numbers: 2 012, 2 013…

Nearest numbers from 2 011

• Preceding prime number: 2 003
• Following prime number: 2 017

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• 2 011 est-il un nombre premier ?