Is 1237 a prime number? What are the divisors of 1237?

## Is 1237 a prime number?

Yes, 1237 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 1237, the only two divisors are 1 and 1237. Therefore 1237 is a prime number.

As a consequence, 1237 is only a multiple of 1 and 1237.

Since 1237 is a prime number, 1237 is also a deficient number, that is to say 1237 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1237 without 1237 itself (that is 1, by definition!).

## Parity of 1237

1237 is an odd number, because it is not evenly divisible by 2.

## Is 1237 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 1237 is about 35.171.

Thus, the square root of 1237 is not an integer, and therefore 1237 is not a square number.

Anyway, 1237 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1237?

The square of a number (here 1237) is the result of the product of this number (1237) by itself (i.e., 1237 × 1237); the square of 1237 is sometimes called "raising 1237 to the power 2", or "1237 squared".

The square of 1237 is 1 530 169 because 1237 × 1237 = 12372 = 1 530 169.

As a consequence, 1237 is the square root of 1 530 169.

## Number of digits of 1237

1237 is a number with 4 digits.

## What are the multiples of 1237?

The multiples of 1237 are all integers evenly divisible by 1237, that is all numbers such that the remainder of the division by 1237 is zero. There are infinitely many multiples of 1237. The smallest multiples of 1237 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1237 too, since 0 × 1237 = 0
• 1237: indeed, 1237 is a multiple of itself, since 1237 is evenly divisible by 1237 (we have 1237 / 1237 = 1, so the remainder of this division is indeed zero)
• 2 474: indeed, 2 474 = 1237 × 2
• 3 711: indeed, 3 711 = 1237 × 3
• 4 948: indeed, 4 948 = 1237 × 4
• 6 185: indeed, 6 185 = 1237 × 5
• etc.

## Nearest numbers from 1237

Find out whether some integer is a prime number