Is 15427 a prime number? What are the divisors of 15427?

## Is 15427 a prime number?

Yes, 15427 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 15427, the only two divisors are 1 and 15427. Therefore 15427 is a prime number.

As a consequence, 15427 is only a multiple of 1 and 15427.

Since 15427 is a prime number, 15427 is also a deficient number, that is to say 15427 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 15427 without 15427 itself (that is 1, by definition!).

## Parity of 15427

15427 is an odd number, because it is not evenly divisible by 2.

## Is 15427 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 15427 is about 124.205.

Thus, the square root of 15427 is not an integer, and therefore 15427 is not a square number.

Anyway, 15427 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 15427?

The square of a number (here 15427) is the result of the product of this number (15427) by itself (i.e., 15427 × 15427); the square of 15427 is sometimes called "raising 15427 to the power 2", or "15427 squared".

The square of 15427 is 237 992 329 because 15427 × 15427 = 154272 = 237 992 329.

As a consequence, 15427 is the square root of 237 992 329.

## Number of digits of 15427

15427 is a number with 5 digits.

## What are the multiples of 15427?

The multiples of 15427 are all integers evenly divisible by 15427, that is all numbers such that the remainder of the division by 15427 is zero. There are infinitely many multiples of 15427. The smallest multiples of 15427 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 15427 too, since 0 × 15427 = 0
• 15427: indeed, 15427 is a multiple of itself, since 15427 is evenly divisible by 15427 (we have 15427 / 15427 = 1, so the remainder of this division is indeed zero)
• 30 854: indeed, 30 854 = 15427 × 2
• 46 281: indeed, 46 281 = 15427 × 3
• 61 708: indeed, 61 708 = 15427 × 4
• 77 135: indeed, 77 135 = 15427 × 5
• etc.

## Nearest numbers from 15427

Find out whether some integer is a prime number