Is 700001 a prime number?

700 001 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 700 001 is about 836.661.

Thus, the square root of 700 001 is not an integer, and therefore 700 001 is not a square number.

Anyway, 700 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 700 001) is the result of the product of this number (700 001) by itself (i.e., 700 001 × 700 001); the square of 700 001 is sometimes called "raising 700 001 to the power 2", or "700 001 squared".

The square of 700 001 is 490 001 400 001 because 700 001 × 700 001 = 700 001² = 490 001 400 001.

As a consequence, 700 001 is the square root of 490 001 400 001.

700 001 is a number with 6 digits.

The multiples of 700 001 are all integers evenly divisible by 700 001, that is all numbers such that the remainder of the division by 700 001 is zero. There are infinitely many multiples of 700 001. The smallest multiples of 700 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 700 001 too, since 0 × 700 001 = 0
• 700 001: indeed, 700 001 is a multiple of itself, since 700 001 is evenly divisible by 700 001 (we have 700 001 / 700 001 = 1, so the remainder of this division is indeed zero)
• 1 400 002: indeed, 1 400 002 = 700 001 × 2
• 2 100 003: indeed, 2 100 003 = 700 001 × 3
• 2 800 004: indeed, 2 800 004 = 700 001 × 4
• 3 500 005: indeed, 3 500 005 = 700 001 × 5
• etc.

• Preceding numbers: …699 999, 700 000
• Following numbers: 700 002, 700 003…

Nearest numbers from 700 001

• Preceding prime number: 699 967
• Following prime number: 700 027

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• 700 001 est-il un nombre premier ?