Is 47513 a prime number?

47 513 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 47 513 is about 217.975.

Thus, the square root of 47 513 is not an integer, and therefore 47 513 is not a square number.

Anyway, 47 513 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 47 513) is the result of the product of this number (47 513) by itself (i.e., 47 513 × 47 513); the square of 47 513 is sometimes called "raising 47 513 to the power 2", or "47 513 squared".

The square of 47 513 is 2 257 485 169 because 47 513 × 47 513 = 47 513² = 2 257 485 169.

As a consequence, 47 513 is the square root of 2 257 485 169.

47 513 is a number with 5 digits.

The multiples of 47 513 are all integers evenly divisible by 47 513, that is all numbers such that the remainder of the division by 47 513 is zero. There are infinitely many multiples of 47 513. The smallest multiples of 47 513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 47 513 too, since 0 × 47 513 = 0
• 47 513: indeed, 47 513 is a multiple of itself, since 47 513 is evenly divisible by 47 513 (we have 47 513 / 47 513 = 1, so the remainder of this division is indeed zero)
• 95 026: indeed, 95 026 = 47 513 × 2
• 142 539: indeed, 142 539 = 47 513 × 3
• 190 052: indeed, 190 052 = 47 513 × 4
• 237 565: indeed, 237 565 = 47 513 × 5
• etc.

• Preceding numbers: …47 511, 47 512
• Following numbers: 47 514, 47 515…

Nearest numbers from 47 513

• Preceding prime number: 47 507
• Following prime number: 47 521

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• 47 513 est-il un nombre premier ?