Is 43441 a prime number? What are the divisors of 43441?

## Is 43441 a prime number?

Yes, 43441 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 43441, the only two divisors are 1 and 43441. Therefore 43441 is a prime number.

As a consequence, 43441 is only a multiple of 1 and 43441.

Since 43441 is a prime number, 43441 is also a deficient number, that is to say 43441 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 43441 without 43441 itself (that is 1, by definition!).

## Parity of 43441

43441 is an odd number, because it is not evenly divisible by 2.

## Is 43441 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 43441 is about 208.425.

Thus, the square root of 43441 is not an integer, and therefore 43441 is not a square number.

Anyway, 43441 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 43441?

The square of a number (here 43441) is the result of the product of this number (43441) by itself (i.e., 43441 × 43441); the square of 43441 is sometimes called "raising 43441 to the power 2", or "43441 squared".

The square of 43441 is 1 887 120 481 because 43441 × 43441 = 434412 = 1 887 120 481.

As a consequence, 43441 is the square root of 1 887 120 481.

## Number of digits of 43441

43441 is a number with 5 digits.

## What are the multiples of 43441?

The multiples of 43441 are all integers evenly divisible by 43441, that is all numbers such that the remainder of the division by 43441 is zero. There are infinitely many multiples of 43441. The smallest multiples of 43441 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 43441 too, since 0 × 43441 = 0
• 43441: indeed, 43441 is a multiple of itself, since 43441 is evenly divisible by 43441 (we have 43441 / 43441 = 1, so the remainder of this division is indeed zero)
• 86 882: indeed, 86 882 = 43441 × 2
• 130 323: indeed, 130 323 = 43441 × 3
• 173 764: indeed, 173 764 = 43441 × 4
• 217 205: indeed, 217 205 = 43441 × 5
• etc.

## Nearest numbers from 43441

Find out whether some integer is a prime number