Is 10267 a prime number? What are the divisors of 10267?

## Is 10267 a prime number?

Yes, 10267 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 10267, the only two divisors are 1 and 10267. Therefore 10267 is a prime number.

As a consequence, 10267 is only a multiple of 1 and 10267.

Since 10267 is a prime number, 10267 is also a deficient number, that is to say 10267 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10267 without 10267 itself (that is 1, by definition!).

## Parity of 10267

10267 is an odd number, because it is not evenly divisible by 2.

## Is 10267 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 10267 is about 101.326.

Thus, the square root of 10267 is not an integer, and therefore 10267 is not a square number.

Anyway, 10267 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10267?

The square of a number (here 10267) is the result of the product of this number (10267) by itself (i.e., 10267 × 10267); the square of 10267 is sometimes called "raising 10267 to the power 2", or "10267 squared".

The square of 10267 is 105 411 289 because 10267 × 10267 = 102672 = 105 411 289.

As a consequence, 10267 is the square root of 105 411 289.

## Number of digits of 10267

10267 is a number with 5 digits.

## What are the multiples of 10267?

The multiples of 10267 are all integers evenly divisible by 10267, that is all numbers such that the remainder of the division by 10267 is zero. There are infinitely many multiples of 10267. The smallest multiples of 10267 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10267 too, since 0 × 10267 = 0
• 10267: indeed, 10267 is a multiple of itself, since 10267 is evenly divisible by 10267 (we have 10267 / 10267 = 1, so the remainder of this division is indeed zero)
• 20 534: indeed, 20 534 = 10267 × 2
• 30 801: indeed, 30 801 = 10267 × 3
• 41 068: indeed, 41 068 = 10267 × 4
• 51 335: indeed, 51 335 = 10267 × 5
• etc.

## Nearest numbers from 10267

Find out whether some integer is a prime number