Is 8467 a prime number? What are the divisors of 8467?

## Is 8467 a prime number?

Yes, 8467 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 8467, the only two divisors are 1 and 8467. Therefore 8467 is a prime number.

As a consequence, 8467 is only a multiple of 1 and 8467.

Since 8467 is a prime number, 8467 is also a deficient number, that is to say 8467 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8467 without 8467 itself (that is 1, by definition!).

## Parity of 8467

8467 is an odd number, because it is not evenly divisible by 2.

## Is 8467 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 8467 is about 92.016.

Thus, the square root of 8467 is not an integer, and therefore 8467 is not a square number.

Anyway, 8467 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8467?

The square of a number (here 8467) is the result of the product of this number (8467) by itself (i.e., 8467 × 8467); the square of 8467 is sometimes called "raising 8467 to the power 2", or "8467 squared".

The square of 8467 is 71 690 089 because 8467 × 8467 = 84672 = 71 690 089.

As a consequence, 8467 is the square root of 71 690 089.

## Number of digits of 8467

8467 is a number with 4 digits.

## What are the multiples of 8467?

The multiples of 8467 are all integers evenly divisible by 8467, that is all numbers such that the remainder of the division by 8467 is zero. There are infinitely many multiples of 8467. The smallest multiples of 8467 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8467 too, since 0 × 8467 = 0
• 8467: indeed, 8467 is a multiple of itself, since 8467 is evenly divisible by 8467 (we have 8467 / 8467 = 1, so the remainder of this division is indeed zero)
• 16 934: indeed, 16 934 = 8467 × 2
• 25 401: indeed, 25 401 = 8467 × 3
• 33 868: indeed, 33 868 = 8467 × 4
• 42 335: indeed, 42 335 = 8467 × 5
• etc.

## Nearest numbers from 8467

Find out whether some integer is a prime number