Is 200201 a prime number?

200 201 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 200 201 is about 447.438.

Thus, the square root of 200 201 is not an integer, and therefore 200 201 is not a square number.

Anyway, 200 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 200 201) is the result of the product of this number (200 201) by itself (i.e., 200 201 × 200 201); the square of 200 201 is sometimes called "raising 200 201 to the power 2", or "200 201 squared".

The square of 200 201 is 40 080 440 401 because 200 201 × 200 201 = 200 201² = 40 080 440 401.

As a consequence, 200 201 is the square root of 40 080 440 401.

200 201 is a number with 6 digits.

The multiples of 200 201 are all integers evenly divisible by 200 201, that is all numbers such that the remainder of the division by 200 201 is zero. There are infinitely many multiples of 200 201. The smallest multiples of 200 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 200 201 too, since 0 × 200 201 = 0
• 200 201: indeed, 200 201 is a multiple of itself, since 200 201 is evenly divisible by 200 201 (we have 200 201 / 200 201 = 1, so the remainder of this division is indeed zero)
• 400 402: indeed, 400 402 = 200 201 × 2
• 600 603: indeed, 600 603 = 200 201 × 3
• 800 804: indeed, 800 804 = 200 201 × 4
• 1 001 005: indeed, 1 001 005 = 200 201 × 5
• etc.

• Preceding numbers: …200 199, 200 200
• Following numbers: 200 202, 200 203…

Nearest numbers from 200 201

• Preceding prime number: 200 191
• Following prime number: 200 227

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• 200 201 est-il un nombre premier ?