Is 16831 a prime number? What are the divisors of 16831?

## Is 16831 a prime number?

Yes, 16831 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 16831, the only two divisors are 1 and 16831. Therefore 16831 is a prime number.

As a consequence, 16831 is only a multiple of 1 and 16831.

Since 16831 is a prime number, 16831 is also a deficient number, that is to say 16831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 16831 without 16831 itself (that is 1, by definition!).

## Parity of 16831

16831 is an odd number, because it is not evenly divisible by 2.

## Is 16831 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 16831 is about 129.734.

Thus, the square root of 16831 is not an integer, and therefore 16831 is not a square number.

Anyway, 16831 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 16831?

The square of a number (here 16831) is the result of the product of this number (16831) by itself (i.e., 16831 × 16831); the square of 16831 is sometimes called "raising 16831 to the power 2", or "16831 squared".

The square of 16831 is 283 282 561 because 16831 × 16831 = 168312 = 283 282 561.

As a consequence, 16831 is the square root of 283 282 561.

## Number of digits of 16831

16831 is a number with 5 digits.

## What are the multiples of 16831?

The multiples of 16831 are all integers evenly divisible by 16831, that is all numbers such that the remainder of the division by 16831 is zero. There are infinitely many multiples of 16831. The smallest multiples of 16831 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 16831 too, since 0 × 16831 = 0
• 16831: indeed, 16831 is a multiple of itself, since 16831 is evenly divisible by 16831 (we have 16831 / 16831 = 1, so the remainder of this division is indeed zero)
• 33 662: indeed, 33 662 = 16831 × 2
• 50 493: indeed, 50 493 = 16831 × 3
• 67 324: indeed, 67 324 = 16831 × 4
• 84 155: indeed, 84 155 = 16831 × 5
• etc.

## Nearest numbers from 16831

Find out whether some integer is a prime number