Is 401201 a prime number?

401 201 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 401 201 is about 633.404.

Thus, the square root of 401 201 is not an integer, and therefore 401 201 is not a square number.

Anyway, 401 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 401 201) is the result of the product of this number (401 201) by itself (i.e., 401 201 × 401 201); the square of 401 201 is sometimes called "raising 401 201 to the power 2", or "401 201 squared".

The square of 401 201 is 160 962 242 401 because 401 201 × 401 201 = 401 201² = 160 962 242 401.

As a consequence, 401 201 is the square root of 160 962 242 401.

401 201 is a number with 6 digits.

The multiples of 401 201 are all integers evenly divisible by 401 201, that is all numbers such that the remainder of the division by 401 201 is zero. There are infinitely many multiples of 401 201. The smallest multiples of 401 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 401 201 too, since 0 × 401 201 = 0
• 401 201: indeed, 401 201 is a multiple of itself, since 401 201 is evenly divisible by 401 201 (we have 401 201 / 401 201 = 1, so the remainder of this division is indeed zero)
• 802 402: indeed, 802 402 = 401 201 × 2
• 1 203 603: indeed, 1 203 603 = 401 201 × 3
• 1 604 804: indeed, 1 604 804 = 401 201 × 4
• 2 006 005: indeed, 2 006 005 = 401 201 × 5
• etc.

• Preceding numbers: …401 199, 401 200
• Following numbers: 401 202, 401 203…

Nearest numbers from 401 201

• Preceding prime number: 401 179
• Following prime number: 401 209

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• 401 201 est-il un nombre premier ?