Is 26627 a prime number? What are the divisors of 26627?

## Is 26627 a prime number?

Yes, 26627 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 26627, the only two divisors are 1 and 26627. Therefore 26627 is a prime number.

As a consequence, 26627 is only a multiple of 1 and 26627.

Since 26627 is a prime number, 26627 is also a deficient number, that is to say 26627 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 26627 without 26627 itself (that is 1, by definition!).

## Parity of 26627

26627 is an odd number, because it is not evenly divisible by 2.

## Is 26627 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 26627 is about 163.178.

Thus, the square root of 26627 is not an integer, and therefore 26627 is not a square number.

Anyway, 26627 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 26627?

The square of a number (here 26627) is the result of the product of this number (26627) by itself (i.e., 26627 × 26627); the square of 26627 is sometimes called "raising 26627 to the power 2", or "26627 squared".

The square of 26627 is 708 997 129 because 26627 × 26627 = 266272 = 708 997 129.

As a consequence, 26627 is the square root of 708 997 129.

## Number of digits of 26627

26627 is a number with 5 digits.

## What are the multiples of 26627?

The multiples of 26627 are all integers evenly divisible by 26627, that is all numbers such that the remainder of the division by 26627 is zero. There are infinitely many multiples of 26627. The smallest multiples of 26627 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 26627 too, since 0 × 26627 = 0
• 26627: indeed, 26627 is a multiple of itself, since 26627 is evenly divisible by 26627 (we have 26627 / 26627 = 1, so the remainder of this division is indeed zero)
• 53 254: indeed, 53 254 = 26627 × 2
• 79 881: indeed, 79 881 = 26627 × 3
• 106 508: indeed, 106 508 = 26627 × 4
• 133 135: indeed, 133 135 = 26627 × 5
• etc.

## Nearest numbers from 26627

Find out whether some integer is a prime number