Is 38201 a prime number?

38 201 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 38 201 is about 195.451.

Thus, the square root of 38 201 is not an integer, and therefore 38 201 is not a square number.

Anyway, 38 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 38 201) is the result of the product of this number (38 201) by itself (i.e., 38 201 × 38 201); the square of 38 201 is sometimes called "raising 38 201 to the power 2", or "38 201 squared".

The square of 38 201 is 1 459 316 401 because 38 201 × 38 201 = 38 201² = 1 459 316 401.

As a consequence, 38 201 is the square root of 1 459 316 401.

38 201 is a number with 5 digits.

The multiples of 38 201 are all integers evenly divisible by 38 201, that is all numbers such that the remainder of the division by 38 201 is zero. There are infinitely many multiples of 38 201. The smallest multiples of 38 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 38 201 too, since 0 × 38 201 = 0
• 38 201: indeed, 38 201 is a multiple of itself, since 38 201 is evenly divisible by 38 201 (we have 38 201 / 38 201 = 1, so the remainder of this division is indeed zero)
• 76 402: indeed, 76 402 = 38 201 × 2
• 114 603: indeed, 114 603 = 38 201 × 3
• 152 804: indeed, 152 804 = 38 201 × 4
• 191 005: indeed, 191 005 = 38 201 × 5
• etc.

• Preceding numbers: …38 199, 38 200
• Following numbers: 38 202, 38 203…

Nearest numbers from 38 201

• Preceding prime number: 38 197
• Following prime number: 38 219

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• 38 201 est-il un nombre premier ?