Is 8167 a prime number? What are the divisors of 8167?

## Is 8167 a prime number?

Yes, 8167 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 8167, the only two divisors are 1 and 8167. Therefore 8167 is a prime number.

As a consequence, 8167 is only a multiple of 1 and 8167.

Since 8167 is a prime number, 8167 is also a deficient number, that is to say 8167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8167 without 8167 itself (that is 1, by definition!).

## Parity of 8167

8167 is an odd number, because it is not evenly divisible by 2.

## Is 8167 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 8167 is about 90.371.

Thus, the square root of 8167 is not an integer, and therefore 8167 is not a square number.

Anyway, 8167 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8167?

The square of a number (here 8167) is the result of the product of this number (8167) by itself (i.e., 8167 × 8167); the square of 8167 is sometimes called "raising 8167 to the power 2", or "8167 squared".

The square of 8167 is 66 699 889 because 8167 × 8167 = 81672 = 66 699 889.

As a consequence, 8167 is the square root of 66 699 889.

## Number of digits of 8167

8167 is a number with 4 digits.

## What are the multiples of 8167?

The multiples of 8167 are all integers evenly divisible by 8167, that is all numbers such that the remainder of the division by 8167 is zero. There are infinitely many multiples of 8167. The smallest multiples of 8167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8167 too, since 0 × 8167 = 0
• 8167: indeed, 8167 is a multiple of itself, since 8167 is evenly divisible by 8167 (we have 8167 / 8167 = 1, so the remainder of this division is indeed zero)
• 16 334: indeed, 16 334 = 8167 × 2
• 24 501: indeed, 24 501 = 8167 × 3
• 32 668: indeed, 32 668 = 8167 × 4
• 40 835: indeed, 40 835 = 8167 × 5
• etc.

## Nearest numbers from 8167

Find out whether some integer is a prime number