Is 37198201 a prime number?

37 198 201 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 37 198 201 is about 6 099.033.

Thus, the square root of 37 198 201 is not an integer, and therefore 37 198 201 is not a square number.

Anyway, 37 198 201 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 37 198 201) is the result of the product of this number (37 198 201) by itself (i.e., 37 198 201 × 37 198 201); the square of 37 198 201 is sometimes called "raising 37 198 201 to the power 2", or "37 198 201 squared".

The square of 37 198 201 is 1 383 706 157 636 401 because 37 198 201 × 37 198 201 = 37 198 201² = 1 383 706 157 636 401.

As a consequence, 37 198 201 is the square root of 1 383 706 157 636 401.

37 198 201 is a number with 8 digits.

The multiples of 37 198 201 are all integers evenly divisible by 37 198 201, that is all numbers such that the remainder of the division by 37 198 201 is zero. There are infinitely many multiples of 37 198 201. The smallest multiples of 37 198 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 198 201 too, since 0 × 37 198 201 = 0
• 37 198 201: indeed, 37 198 201 is a multiple of itself, since 37 198 201 is evenly divisible by 37 198 201 (we have 37 198 201 / 37 198 201 = 1, so the remainder of this division is indeed zero)
• 74 396 402: indeed, 74 396 402 = 37 198 201 × 2
• 111 594 603: indeed, 111 594 603 = 37 198 201 × 3
• 148 792 804: indeed, 148 792 804 = 37 198 201 × 4
• 185 991 005: indeed, 185 991 005 = 37 198 201 × 5
• etc.

• Preceding numbers: …37 198 199, 37 198 200
• Following numbers: 37 198 202, 37 198 203…

Nearest numbers from 37 198 201

• Preceding prime number: 37 198 151
• Following prime number: 37 198 211

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