Is 12821 a prime number?

12 821 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 12 821 is about 113.230.

Thus, the square root of 12 821 is not an integer, and therefore 12 821 is not a square number.

Anyway, 12 821 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 821) is the result of the product of this number (12 821) by itself (i.e., 12 821 × 12 821); the square of 12 821 is sometimes called "raising 12 821 to the power 2", or "12 821 squared".

The square of 12 821 is 164 378 041 because 12 821 × 12 821 = 12 821² = 164 378 041.

As a consequence, 12 821 is the square root of 164 378 041.

12 821 is a number with 5 digits.

The multiples of 12 821 are all integers evenly divisible by 12 821, that is all numbers such that the remainder of the division by 12 821 is zero. There are infinitely many multiples of 12 821. The smallest multiples of 12 821 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 821 too, since 0 × 12 821 = 0
• 12 821: indeed, 12 821 is a multiple of itself, since 12 821 is evenly divisible by 12 821 (we have 12 821 / 12 821 = 1, so the remainder of this division is indeed zero)
• 25 642: indeed, 25 642 = 12 821 × 2
• 38 463: indeed, 38 463 = 12 821 × 3
• 51 284: indeed, 51 284 = 12 821 × 4
• 64 105: indeed, 64 105 = 12 821 × 5
• etc.

• Preceding numbers: …12 819, 12 820
• Following numbers: 12 822, 12 823…

Nearest numbers from 12 821

• Preceding prime number: 12 809
• Following prime number: 12 823

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• Five thousand prime numbers

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• 12 821 est-il un nombre premier ?