Is 9421 a prime number? What are the divisors of 9421?

## Is 9421 a prime number?

Yes, 9421 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 9421, the only two divisors are 1 and 9421. Therefore 9421 is a prime number.

As a consequence, 9421 is only a multiple of 1 and 9421.

Since 9421 is a prime number, 9421 is also a deficient number, that is to say 9421 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9421 without 9421 itself (that is 1, by definition!).

## Parity of 9421

9421 is an odd number, because it is not evenly divisible by 2.

## Is 9421 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 9421 is about 97.062.

Thus, the square root of 9421 is not an integer, and therefore 9421 is not a square number.

Anyway, 9421 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9421?

The square of a number (here 9421) is the result of the product of this number (9421) by itself (i.e., 9421 × 9421); the square of 9421 is sometimes called "raising 9421 to the power 2", or "9421 squared".

The square of 9421 is 88 755 241 because 9421 × 9421 = 94212 = 88 755 241.

As a consequence, 9421 is the square root of 88 755 241.

## Number of digits of 9421

9421 is a number with 4 digits.

## What are the multiples of 9421?

The multiples of 9421 are all integers evenly divisible by 9421, that is all numbers such that the remainder of the division by 9421 is zero. There are infinitely many multiples of 9421. The smallest multiples of 9421 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9421 too, since 0 × 9421 = 0
• 9421: indeed, 9421 is a multiple of itself, since 9421 is evenly divisible by 9421 (we have 9421 / 9421 = 1, so the remainder of this division is indeed zero)
• 18 842: indeed, 18 842 = 9421 × 2
• 28 263: indeed, 28 263 = 9421 × 3
• 37 684: indeed, 37 684 = 9421 × 4
• 47 105: indeed, 47 105 = 9421 × 5
• etc.

## Nearest numbers from 9421

Find out whether some integer is a prime number