Is 2213 a prime number?

2 213 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 2 213 is about 47.043.

Thus, the square root of 2 213 is not an integer, and therefore 2 213 is not a square number.

Anyway, 2 213 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 213) is the result of the product of this number (2 213) by itself (i.e., 2 213 × 2 213); the square of 2 213 is sometimes called "raising 2 213 to the power 2", or "2 213 squared".

The square of 2 213 is 4 897 369 because 2 213 × 2 213 = 2 213² = 4 897 369.

As a consequence, 2 213 is the square root of 4 897 369.

2 213 is a number with 4 digits.

The multiples of 2 213 are all integers evenly divisible by 2 213, that is all numbers such that the remainder of the division by 2 213 is zero. There are infinitely many multiples of 2 213. The smallest multiples of 2 213 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 213 too, since 0 × 2 213 = 0
• 2 213: indeed, 2 213 is a multiple of itself, since 2 213 is evenly divisible by 2 213 (we have 2 213 / 2 213 = 1, so the remainder of this division is indeed zero)
• 4 426: indeed, 4 426 = 2 213 × 2
• 6 639: indeed, 6 639 = 2 213 × 3
• 8 852: indeed, 8 852 = 2 213 × 4
• 11 065: indeed, 11 065 = 2 213 × 5
• etc.

• Preceding numbers: …2 211, 2 212
• Following numbers: 2 214, 2 215…

Nearest numbers from 2 213

• Preceding prime number: 2 207
• Following prime number: 2 221

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• 2 213 est-il un nombre premier ?