Is 31481 a prime number? What are the divisors of 31481?

## Is 31481 a prime number?

Yes, 31481 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 31481, the only two divisors are 1 and 31481. Therefore 31481 is a prime number.

As a consequence, 31481 is only a multiple of 1 and 31481.

Since 31481 is a prime number, 31481 is also a deficient number, that is to say 31481 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31481 without 31481 itself (that is 1, by definition!).

## Parity of 31481

31481 is an odd number, because it is not evenly divisible by 2.

## Is 31481 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 31481 is about 177.429.

Thus, the square root of 31481 is not an integer, and therefore 31481 is not a square number.

Anyway, 31481 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 31481?

The square of a number (here 31481) is the result of the product of this number (31481) by itself (i.e., 31481 × 31481); the square of 31481 is sometimes called "raising 31481 to the power 2", or "31481 squared".

The square of 31481 is 991 053 361 because 31481 × 31481 = 314812 = 991 053 361.

As a consequence, 31481 is the square root of 991 053 361.

## Number of digits of 31481

31481 is a number with 5 digits.

## What are the multiples of 31481?

The multiples of 31481 are all integers evenly divisible by 31481, that is all numbers such that the remainder of the division by 31481 is zero. There are infinitely many multiples of 31481. The smallest multiples of 31481 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31481 too, since 0 × 31481 = 0
• 31481: indeed, 31481 is a multiple of itself, since 31481 is evenly divisible by 31481 (we have 31481 / 31481 = 1, so the remainder of this division is indeed zero)
• 62 962: indeed, 62 962 = 31481 × 2
• 94 443: indeed, 94 443 = 31481 × 3
• 125 924: indeed, 125 924 = 31481 × 4
• 157 405: indeed, 157 405 = 31481 × 5
• etc.

## Nearest numbers from 31481

Find out whether some integer is a prime number