Is 800801 a prime number?

800 801 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 800 801 is about 894.875.

Thus, the square root of 800 801 is not an integer, and therefore 800 801 is not a square number.

Anyway, 800 801 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 800 801) is the result of the product of this number (800 801) by itself (i.e., 800 801 × 800 801); the square of 800 801 is sometimes called "raising 800 801 to the power 2", or "800 801 squared".

The square of 800 801 is 641 282 241 601 because 800 801 × 800 801 = 800 801² = 641 282 241 601.

As a consequence, 800 801 is the square root of 641 282 241 601.

800 801 is a number with 6 digits.

The multiples of 800 801 are all integers evenly divisible by 800 801, that is all numbers such that the remainder of the division by 800 801 is zero. There are infinitely many multiples of 800 801. The smallest multiples of 800 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 800 801 too, since 0 × 800 801 = 0
• 800 801: indeed, 800 801 is a multiple of itself, since 800 801 is evenly divisible by 800 801 (we have 800 801 / 800 801 = 1, so the remainder of this division is indeed zero)
• 1 601 602: indeed, 1 601 602 = 800 801 × 2
• 2 402 403: indeed, 2 402 403 = 800 801 × 3
• 3 203 204: indeed, 3 203 204 = 800 801 × 4
• 4 004 005: indeed, 4 004 005 = 800 801 × 5
• etc.

• Preceding numbers: …800 799, 800 800
• Following numbers: 800 802, 800 803…

Nearest numbers from 800 801

• Preceding prime number: 800 783
• Following prime number: 800 861

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• 800 801 est-il un nombre premier ?