Is 7867 a prime number? What are the divisors of 7867?

## Is 7867 a prime number?

Yes, 7867 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 7867, the only two divisors are 1 and 7867. Therefore 7867 is a prime number.

As a consequence, 7867 is only a multiple of 1 and 7867.

Since 7867 is a prime number, 7867 is also a deficient number, that is to say 7867 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7867 without 7867 itself (that is 1, by definition!).

## Parity of 7867

7867 is an odd number, because it is not evenly divisible by 2.

## Is 7867 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 7867 is about 88.696.

Thus, the square root of 7867 is not an integer, and therefore 7867 is not a square number.

Anyway, 7867 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7867?

The square of a number (here 7867) is the result of the product of this number (7867) by itself (i.e., 7867 × 7867); the square of 7867 is sometimes called "raising 7867 to the power 2", or "7867 squared".

The square of 7867 is 61 889 689 because 7867 × 7867 = 78672 = 61 889 689.

As a consequence, 7867 is the square root of 61 889 689.

## Number of digits of 7867

7867 is a number with 4 digits.

## What are the multiples of 7867?

The multiples of 7867 are all integers evenly divisible by 7867, that is all numbers such that the remainder of the division by 7867 is zero. There are infinitely many multiples of 7867. The smallest multiples of 7867 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7867 too, since 0 × 7867 = 0
• 7867: indeed, 7867 is a multiple of itself, since 7867 is evenly divisible by 7867 (we have 7867 / 7867 = 1, so the remainder of this division is indeed zero)
• 15 734: indeed, 15 734 = 7867 × 2
• 23 601: indeed, 23 601 = 7867 × 3
• 31 468: indeed, 31 468 = 7867 × 4
• 39 335: indeed, 39 335 = 7867 × 5
• etc.

## Nearest numbers from 7867

Find out whether some integer is a prime number