Is 10067 a prime number? What are the divisors of 10067?

## Is 10067 a prime number?

Yes, 10067 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 10067, the only two divisors are 1 and 10067. Therefore 10067 is a prime number.

As a consequence, 10067 is only a multiple of 1 and 10067.

Since 10067 is a prime number, 10067 is also a deficient number, that is to say 10067 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10067 without 10067 itself (that is 1, by definition!).

## Parity of 10067

10067 is an odd number, because it is not evenly divisible by 2.

## Is 10067 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 10067 is about 100.334.

Thus, the square root of 10067 is not an integer, and therefore 10067 is not a square number.

Anyway, 10067 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10067?

The square of a number (here 10067) is the result of the product of this number (10067) by itself (i.e., 10067 × 10067); the square of 10067 is sometimes called "raising 10067 to the power 2", or "10067 squared".

The square of 10067 is 101 344 489 because 10067 × 10067 = 100672 = 101 344 489.

As a consequence, 10067 is the square root of 101 344 489.

## Number of digits of 10067

10067 is a number with 5 digits.

## What are the multiples of 10067?

The multiples of 10067 are all integers evenly divisible by 10067, that is all numbers such that the remainder of the division by 10067 is zero. There are infinitely many multiples of 10067. The smallest multiples of 10067 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10067 too, since 0 × 10067 = 0
• 10067: indeed, 10067 is a multiple of itself, since 10067 is evenly divisible by 10067 (we have 10067 / 10067 = 1, so the remainder of this division is indeed zero)
• 20 134: indeed, 20 134 = 10067 × 2
• 30 201: indeed, 30 201 = 10067 × 3
• 40 268: indeed, 40 268 = 10067 × 4
• 50 335: indeed, 50 335 = 10067 × 5
• etc.

## Nearest numbers from 10067

Find out whether some integer is a prime number