Is 43331 a prime number? What are the divisors of 43331?

## Is 43331 a prime number?

Yes, 43331 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 43331, the only two divisors are 1 and 43331. Therefore 43331 is a prime number.

As a consequence, 43331 is only a multiple of 1 and 43331.

Since 43331 is a prime number, 43331 is also a deficient number, that is to say 43331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 43331 without 43331 itself (that is 1, by definition!).

## Parity of 43331

43331 is an odd number, because it is not evenly divisible by 2.

## Is 43331 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 43331 is about 208.161.

Thus, the square root of 43331 is not an integer, and therefore 43331 is not a square number.

Anyway, 43331 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 43331?

The square of a number (here 43331) is the result of the product of this number (43331) by itself (i.e., 43331 × 43331); the square of 43331 is sometimes called "raising 43331 to the power 2", or "43331 squared".

The square of 43331 is 1 877 575 561 because 43331 × 43331 = 433312 = 1 877 575 561.

As a consequence, 43331 is the square root of 1 877 575 561.

## Number of digits of 43331

43331 is a number with 5 digits.

## What are the multiples of 43331?

The multiples of 43331 are all integers evenly divisible by 43331, that is all numbers such that the remainder of the division by 43331 is zero. There are infinitely many multiples of 43331. The smallest multiples of 43331 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 43331 too, since 0 × 43331 = 0
• 43331: indeed, 43331 is a multiple of itself, since 43331 is evenly divisible by 43331 (we have 43331 / 43331 = 1, so the remainder of this division is indeed zero)
• 86 662: indeed, 86 662 = 43331 × 2
• 129 993: indeed, 129 993 = 43331 × 3
• 173 324: indeed, 173 324 = 43331 × 4
• 216 655: indeed, 216 655 = 43331 × 5
• etc.

## Nearest numbers from 43331

Find out whether some integer is a prime number