Is 1187 a prime number? What are the divisors of 1187?

## Is 1187 a prime number?

Yes, 1187 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 1187, the only two divisors are 1 and 1187. Therefore 1187 is a prime number.

As a consequence, 1187 is only a multiple of 1 and 1187.

Since 1187 is a prime number, 1187 is also a deficient number, that is to say 1187 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1187 without 1187 itself (that is 1, by definition!).

## Parity of 1187

1187 is an odd number, because it is not evenly divisible by 2.

## Is 1187 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 1187 is about 34.453.

Thus, the square root of 1187 is not an integer, and therefore 1187 is not a square number.

Anyway, 1187 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1187?

The square of a number (here 1187) is the result of the product of this number (1187) by itself (i.e., 1187 × 1187); the square of 1187 is sometimes called "raising 1187 to the power 2", or "1187 squared".

The square of 1187 is 1 408 969 because 1187 × 1187 = 11872 = 1 408 969.

As a consequence, 1187 is the square root of 1 408 969.

## Number of digits of 1187

1187 is a number with 4 digits.

## What are the multiples of 1187?

The multiples of 1187 are all integers evenly divisible by 1187, that is all numbers such that the remainder of the division by 1187 is zero. There are infinitely many multiples of 1187. The smallest multiples of 1187 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1187 too, since 0 × 1187 = 0
• 1187: indeed, 1187 is a multiple of itself, since 1187 is evenly divisible by 1187 (we have 1187 / 1187 = 1, so the remainder of this division is indeed zero)
• 2 374: indeed, 2 374 = 1187 × 2
• 3 561: indeed, 3 561 = 1187 × 3
• 4 748: indeed, 4 748 = 1187 × 4
• 5 935: indeed, 5 935 = 1187 × 5
• etc.

## Nearest numbers from 1187

Find out whether some integer is a prime number