Is 8443 a prime number? What are the divisors of 8443?

## Is 8443 a prime number?

Yes, 8443 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 8443, the only two divisors are 1 and 8443. Therefore 8443 is a prime number.

As a consequence, 8443 is only a multiple of 1 and 8443.

Since 8443 is a prime number, 8443 is also a deficient number, that is to say 8443 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8443 without 8443 itself (that is 1, by definition!).

## Parity of 8443

8443 is an odd number, because it is not evenly divisible by 2.

## Is 8443 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 8443 is about 91.886.

Thus, the square root of 8443 is not an integer, and therefore 8443 is not a square number.

Anyway, 8443 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8443?

The square of a number (here 8443) is the result of the product of this number (8443) by itself (i.e., 8443 × 8443); the square of 8443 is sometimes called "raising 8443 to the power 2", or "8443 squared".

The square of 8443 is 71 284 249 because 8443 × 8443 = 84432 = 71 284 249.

As a consequence, 8443 is the square root of 71 284 249.

## Number of digits of 8443

8443 is a number with 4 digits.

## What are the multiples of 8443?

The multiples of 8443 are all integers evenly divisible by 8443, that is all numbers such that the remainder of the division by 8443 is zero. There are infinitely many multiples of 8443. The smallest multiples of 8443 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8443 too, since 0 × 8443 = 0
• 8443: indeed, 8443 is a multiple of itself, since 8443 is evenly divisible by 8443 (we have 8443 / 8443 = 1, so the remainder of this division is indeed zero)
• 16 886: indeed, 16 886 = 8443 × 2
• 25 329: indeed, 25 329 = 8443 × 3
• 33 772: indeed, 33 772 = 8443 × 4
• 42 215: indeed, 42 215 = 8443 × 5
• etc.

## Nearest numbers from 8443

Find out whether some integer is a prime number