Is 8387 a prime number? What are the divisors of 8387?

## Is 8387 a prime number?

Yes, 8387 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 8387, the only two divisors are 1 and 8387. Therefore 8387 is a prime number.

As a consequence, 8387 is only a multiple of 1 and 8387.

Since 8387 is a prime number, 8387 is also a deficient number, that is to say 8387 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8387 without 8387 itself (that is 1, by definition!).

## Parity of 8387

8387 is an odd number, because it is not evenly divisible by 2.

## Is 8387 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 8387 is about 91.581.

Thus, the square root of 8387 is not an integer, and therefore 8387 is not a square number.

Anyway, 8387 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8387?

The square of a number (here 8387) is the result of the product of this number (8387) by itself (i.e., 8387 × 8387); the square of 8387 is sometimes called "raising 8387 to the power 2", or "8387 squared".

The square of 8387 is 70 341 769 because 8387 × 8387 = 83872 = 70 341 769.

As a consequence, 8387 is the square root of 70 341 769.

## Number of digits of 8387

8387 is a number with 4 digits.

## What are the multiples of 8387?

The multiples of 8387 are all integers evenly divisible by 8387, that is all numbers such that the remainder of the division by 8387 is zero. There are infinitely many multiples of 8387. The smallest multiples of 8387 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8387 too, since 0 × 8387 = 0
• 8387: indeed, 8387 is a multiple of itself, since 8387 is evenly divisible by 8387 (we have 8387 / 8387 = 1, so the remainder of this division is indeed zero)
• 16 774: indeed, 16 774 = 8387 × 2
• 25 161: indeed, 25 161 = 8387 × 3
• 33 548: indeed, 33 548 = 8387 × 4
• 41 935: indeed, 41 935 = 8387 × 5
• etc.

## Nearest numbers from 8387

Find out whether some integer is a prime number