Is 2137 a prime number? What are the divisors of 2137?

## Is 2137 a prime number?

Yes, 2137 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 2137, the only two divisors are 1 and 2137. Therefore 2137 is a prime number.

As a consequence, 2137 is only a multiple of 1 and 2137.

Since 2137 is a prime number, 2137 is also a deficient number, that is to say 2137 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2137 without 2137 itself (that is 1, by definition!).

## Parity of 2137

2137 is an odd number, because it is not evenly divisible by 2.

## Is 2137 a perfect square 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 2137 is about 46.228.

Thus, the square root of 2137 is not an integer, and therefore 2137 is not a square number.

Anyway, 2137 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2137?

The square of a number (here 2137) is the result of the product of this number (2137) by itself (i.e., 2137 × 2137); the square of 2137 is sometimes called "raising 2137 to the power 2", or "2137 squared".

The square of 2137 is 4 566 769 because 2137 × 2137 = 21372 = 4 566 769.

As a consequence, 2137 is the square root of 4 566 769.

## Number of digits of 2137

2137 is a number with 4 digits.

## What are the multiples of 2137?

The multiples of 2137 are all integers evenly divisible by 2137, that is all numbers such that the remainder of the division by 2137 is zero. There are infinitely many multiples of 2137. The smallest multiples of 2137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2137 too, since 0 × 2137 = 0
• 2137: indeed, 2137 is a multiple of itself, since 2137 is evenly divisible by 2137 (we have 2137 / 2137 = 1, so the remainder of this division is indeed zero)
• 4 274: indeed, 4 274 = 2137 × 2
• 6 411: indeed, 6 411 = 2137 × 3
• 8 548: indeed, 8 548 = 2137 × 4
• 10 685: indeed, 10 685 = 2137 × 5
• etc.

## Nearest numbers from 2137

Find out whether some integer is a prime number