Is 10667 a prime number? What are the divisors of 10667?

## Is 10667 a prime number?

Yes, 10667 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 10667, the only two divisors are 1 and 10667. Therefore 10667 is a prime number.

As a consequence, 10667 is only a multiple of 1 and 10667.

Since 10667 is a prime number, 10667 is also a deficient number, that is to say 10667 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10667 without 10667 itself (that is 1, by definition!).

## Parity of 10667

10667 is an odd number, because it is not evenly divisible by 2.

## Is 10667 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 10667 is about 103.281.

Thus, the square root of 10667 is not an integer, and therefore 10667 is not a square number.

Anyway, 10667 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10667?

The square of a number (here 10667) is the result of the product of this number (10667) by itself (i.e., 10667 × 10667); the square of 10667 is sometimes called "raising 10667 to the power 2", or "10667 squared".

The square of 10667 is 113 784 889 because 10667 × 10667 = 106672 = 113 784 889.

As a consequence, 10667 is the square root of 113 784 889.

## Number of digits of 10667

10667 is a number with 5 digits.

## What are the multiples of 10667?

The multiples of 10667 are all integers evenly divisible by 10667, that is all numbers such that the remainder of the division by 10667 is zero. There are infinitely many multiples of 10667. The smallest multiples of 10667 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10667 too, since 0 × 10667 = 0
• 10667: indeed, 10667 is a multiple of itself, since 10667 is evenly divisible by 10667 (we have 10667 / 10667 = 1, so the remainder of this division is indeed zero)
• 21 334: indeed, 21 334 = 10667 × 2
• 32 001: indeed, 32 001 = 10667 × 3
• 42 668: indeed, 42 668 = 10667 × 4
• 53 335: indeed, 53 335 = 10667 × 5
• etc.

## Nearest numbers from 10667

Find out whether some integer is a prime number