Is 4201 a prime number?

4 201 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 4 201 is about 64.815.

Thus, the square root of 4 201 is not an integer, and therefore 4 201 is not a square number.

Anyway, 4 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 201) is the result of the product of this number (4 201) by itself (i.e., 4 201 × 4 201); the square of 4 201 is sometimes called "raising 4 201 to the power 2", or "4 201 squared".

The square of 4 201 is 17 648 401 because 4 201 × 4 201 = 4 201² = 17 648 401.

As a consequence, 4 201 is the square root of 17 648 401.

4 201 is a number with 4 digits.

The multiples of 4 201 are all integers evenly divisible by 4 201, that is all numbers such that the remainder of the division by 4 201 is zero. There are infinitely many multiples of 4 201. The smallest multiples of 4 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 201 too, since 0 × 4 201 = 0
• 4 201: indeed, 4 201 is a multiple of itself, since 4 201 is evenly divisible by 4 201 (we have 4 201 / 4 201 = 1, so the remainder of this division is indeed zero)
• 8 402: indeed, 8 402 = 4 201 × 2
• 12 603: indeed, 12 603 = 4 201 × 3
• 16 804: indeed, 16 804 = 4 201 × 4
• 21 005: indeed, 21 005 = 4 201 × 5
• etc.

• Preceding numbers: …4 199, 4 200
• Following numbers: 4 202, 4 203…

Nearest numbers from 4 201

• Preceding prime number: 4 177
• Following prime number: 4 211

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• 4 201 est-il un nombre premier ?