Is 2437 a prime number? What are the divisors of 2437?

## Is 2437 a prime number?

Yes, 2437 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 2437, the only two divisors are 1 and 2437. Therefore 2437 is a prime number.

As a consequence, 2437 is only a multiple of 1 and 2437.

Since 2437 is a prime number, 2437 is also a deficient number, that is to say 2437 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2437 without 2437 itself (that is 1, by definition!).

## Parity of 2437

2437 is an odd number, because it is not evenly divisible by 2.

## Is 2437 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 2437 is about 49.366.

Thus, the square root of 2437 is not an integer, and therefore 2437 is not a square number.

Anyway, 2437 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2437?

The square of a number (here 2437) is the result of the product of this number (2437) by itself (i.e., 2437 × 2437); the square of 2437 is sometimes called "raising 2437 to the power 2", or "2437 squared".

The square of 2437 is 5 938 969 because 2437 × 2437 = 24372 = 5 938 969.

As a consequence, 2437 is the square root of 5 938 969.

## Number of digits of 2437

2437 is a number with 4 digits.

## What are the multiples of 2437?

The multiples of 2437 are all integers evenly divisible by 2437, that is all numbers such that the remainder of the division by 2437 is zero. There are infinitely many multiples of 2437. The smallest multiples of 2437 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2437 too, since 0 × 2437 = 0
• 2437: indeed, 2437 is a multiple of itself, since 2437 is evenly divisible by 2437 (we have 2437 / 2437 = 1, so the remainder of this division is indeed zero)
• 4 874: indeed, 4 874 = 2437 × 2
• 7 311: indeed, 7 311 = 2437 × 3
• 9 748: indeed, 9 748 = 2437 × 4
• 12 185: indeed, 12 185 = 2437 × 5
• etc.

## Nearest numbers from 2437

Find out whether some integer is a prime number