Is 2005 a prime number?

2 005 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 2 005 is about 44.777.

Thus, the square root of 2 005 is not an integer, and therefore 2 005 is not a square number.

The square of a number (here 2 005) is the result of the product of this number (2 005) by itself (i.e., 2 005 × 2 005); the square of 2 005 is sometimes called "raising 2 005 to the power 2", or "2 005 squared".

The square of 2 005 is 4 020 025 because 2 005 × 2 005 = 2 005² = 4 020 025.

As a consequence, 2 005 is the square root of 4 020 025.

2 005 is a number with 4 digits.

The multiples of 2 005 are all integers evenly divisible by 2 005, that is all numbers such that the remainder of the division by 2 005 is zero. There are infinitely many multiples of 2 005. The smallest multiples of 2 005 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 005 too, since 0 × 2 005 = 0
• 2 005: indeed, 2 005 is a multiple of itself, since 2 005 is evenly divisible by 2 005 (we have 2 005 / 2 005 = 1, so the remainder of this division is indeed zero)
• 4 010: indeed, 4 010 = 2 005 × 2
• 6 015: indeed, 6 015 = 2 005 × 3
• 8 020: indeed, 8 020 = 2 005 × 4
• 10 025: indeed, 10 025 = 2 005 × 5
• etc.

• Preceding numbers: …2 003, 2 004
• Following numbers: 2 006, 2 007…

Nearest numbers from 2 005

• Preceding prime number: 2 003
• Following prime number: 2 011

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• 2 005 est-il un nombre premier ?