Is 420001 a prime number?

420 001 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 420 001 is about 648.075.

Thus, the square root of 420 001 is not an integer, and therefore 420 001 is not a square number.

Anyway, 420 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 420 001) is the result of the product of this number (420 001) by itself (i.e., 420 001 × 420 001); the square of 420 001 is sometimes called "raising 420 001 to the power 2", or "420 001 squared".

The square of 420 001 is 176 400 840 001 because 420 001 × 420 001 = 420 001² = 176 400 840 001.

As a consequence, 420 001 is the square root of 176 400 840 001.

420 001 is a number with 6 digits.

The multiples of 420 001 are all integers evenly divisible by 420 001, that is all numbers such that the remainder of the division by 420 001 is zero. There are infinitely many multiples of 420 001. The smallest multiples of 420 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 420 001 too, since 0 × 420 001 = 0
• 420 001: indeed, 420 001 is a multiple of itself, since 420 001 is evenly divisible by 420 001 (we have 420 001 / 420 001 = 1, so the remainder of this division is indeed zero)
• 840 002: indeed, 840 002 = 420 001 × 2
• 1 260 003: indeed, 1 260 003 = 420 001 × 3
• 1 680 004: indeed, 1 680 004 = 420 001 × 4
• 2 100 005: indeed, 2 100 005 = 420 001 × 5
• etc.

• Preceding numbers: …419 999, 420 000
• Following numbers: 420 002, 420 003…

Nearest numbers from 420 001

• Preceding prime number: 419 999
• Following prime number: 420 029

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• 420 001 est-il un nombre premier ?