Is 564001 a prime number?

564 001 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 564 001 is 751.

Therefore, the square root of 564 001 is an integer, and as a consequence 564 001 is a perfect square.

As a consequence, 751 is the square root of 564 001.

The square of a number (here 564 001) is the result of the product of this number (564 001) by itself (i.e., 564 001 × 564 001); the square of 564 001 is sometimes called "raising 564 001 to the power 2", or "564 001 squared".

The square of 564 001 is 318 097 128 001 because 564 001 × 564 001 = 564 001² = 318 097 128 001.

As a consequence, 564 001 is the square root of 318 097 128 001.

564 001 is a number with 6 digits.

The multiples of 564 001 are all integers evenly divisible by 564 001, that is all numbers such that the remainder of the division by 564 001 is zero. There are infinitely many multiples of 564 001. The smallest multiples of 564 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 564 001 too, since 0 × 564 001 = 0
• 564 001: indeed, 564 001 is a multiple of itself, since 564 001 is evenly divisible by 564 001 (we have 564 001 / 564 001 = 1, so the remainder of this division is indeed zero)
• 1 128 002: indeed, 1 128 002 = 564 001 × 2
• 1 692 003: indeed, 1 692 003 = 564 001 × 3
• 2 256 004: indeed, 2 256 004 = 564 001 × 4
• 2 820 005: indeed, 2 820 005 = 564 001 × 5
• etc.

• Preceding numbers: …563 999, 564 000
• Following numbers: 564 002, 564 003…

Nearest numbers from 564 001

• Preceding prime number: 563 999
• Following prime number: 564 013

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• 564 001 est-il un nombre premier ?