Is 1087 a prime number? What are the divisors of 1087?

## Is 1087 a prime number?

Yes, 1087 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 1087, the only two divisors are 1 and 1087. Therefore 1087 is a prime number.

As a consequence, 1087 is only a multiple of 1 and 1087.

Since 1087 is a prime number, 1087 is also a deficient number, that is to say 1087 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1087 without 1087 itself (that is 1, by definition!).

## Parity of 1087

1087 is an odd number, because it is not evenly divisible by 2.

## Is 1087 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 1087 is about 32.970.

Thus, the square root of 1087 is not an integer, and therefore 1087 is not a square number.

Anyway, 1087 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1087?

The square of a number (here 1087) is the result of the product of this number (1087) by itself (i.e., 1087 × 1087); the square of 1087 is sometimes called "raising 1087 to the power 2", or "1087 squared".

The square of 1087 is 1 181 569 because 1087 × 1087 = 10872 = 1 181 569.

As a consequence, 1087 is the square root of 1 181 569.

## Number of digits of 1087

1087 is a number with 4 digits.

## What are the multiples of 1087?

The multiples of 1087 are all integers evenly divisible by 1087, that is all numbers such that the remainder of the division by 1087 is zero. There are infinitely many multiples of 1087. The smallest multiples of 1087 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1087 too, since 0 × 1087 = 0
• 1087: indeed, 1087 is a multiple of itself, since 1087 is evenly divisible by 1087 (we have 1087 / 1087 = 1, so the remainder of this division is indeed zero)
• 2 174: indeed, 2 174 = 1087 × 2
• 3 261: indeed, 3 261 = 1087 × 3
• 4 348: indeed, 4 348 = 1087 × 4
• 5 435: indeed, 5 435 = 1087 × 5
• etc.

## Nearest numbers from 1087

Find out whether some integer is a prime number