Is 4005 a prime number?

4 005 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 4 005 is about 63.285.

Thus, the square root of 4 005 is not an integer, and therefore 4 005 is not a square number.

The square of a number (here 4 005) is the result of the product of this number (4 005) by itself (i.e., 4 005 × 4 005); the square of 4 005 is sometimes called "raising 4 005 to the power 2", or "4 005 squared".

The square of 4 005 is 16 040 025 because 4 005 × 4 005 = 4 005² = 16 040 025.

As a consequence, 4 005 is the square root of 16 040 025.

4 005 is a number with 4 digits.

The multiples of 4 005 are all integers evenly divisible by 4 005, that is all numbers such that the remainder of the division by 4 005 is zero. There are infinitely many multiples of 4 005. The smallest multiples of 4 005 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 005 too, since 0 × 4 005 = 0
• 4 005: indeed, 4 005 is a multiple of itself, since 4 005 is evenly divisible by 4 005 (we have 4 005 / 4 005 = 1, so the remainder of this division is indeed zero)
• 8 010: indeed, 8 010 = 4 005 × 2
• 12 015: indeed, 12 015 = 4 005 × 3
• 16 020: indeed, 16 020 = 4 005 × 4
• 20 025: indeed, 20 025 = 4 005 × 5
• etc.

• Preceding numbers: …4 003, 4 004
• Following numbers: 4 006, 4 007…

Nearest numbers from 4 005

• Preceding prime number: 4 003
• Following prime number: 4 007

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• 4 005 est-il un nombre premier ?