Is 8087 a prime number? What are the divisors of 8087?

## Is 8087 a prime number?

Yes, 8087 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 8087, the only two divisors are 1 and 8087. Therefore 8087 is a prime number.

As a consequence, 8087 is only a multiple of 1 and 8087.

Since 8087 is a prime number, 8087 is also a deficient number, that is to say 8087 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8087 without 8087 itself (that is 1, by definition!).

## Parity of 8087

8087 is an odd number, because it is not evenly divisible by 2.

## Is 8087 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 8087 is about 89.928.

Thus, the square root of 8087 is not an integer, and therefore 8087 is not a square number.

Anyway, 8087 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8087?

The square of a number (here 8087) is the result of the product of this number (8087) by itself (i.e., 8087 × 8087); the square of 8087 is sometimes called "raising 8087 to the power 2", or "8087 squared".

The square of 8087 is 65 399 569 because 8087 × 8087 = 80872 = 65 399 569.

As a consequence, 8087 is the square root of 65 399 569.

## Number of digits of 8087

8087 is a number with 4 digits.

## What are the multiples of 8087?

The multiples of 8087 are all integers evenly divisible by 8087, that is all numbers such that the remainder of the division by 8087 is zero. There are infinitely many multiples of 8087. The smallest multiples of 8087 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8087 too, since 0 × 8087 = 0
• 8087: indeed, 8087 is a multiple of itself, since 8087 is evenly divisible by 8087 (we have 8087 / 8087 = 1, so the remainder of this division is indeed zero)
• 16 174: indeed, 16 174 = 8087 × 2
• 24 261: indeed, 24 261 = 8087 × 3
• 32 348: indeed, 32 348 = 8087 × 4
• 40 435: indeed, 40 435 = 8087 × 5
• etc.

## Nearest numbers from 8087

Find out whether some integer is a prime number