Is 9221 a prime number? What are the divisors of 9221?

## Is 9221 a prime number?

Yes, 9221 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 9221, the only two divisors are 1 and 9221. Therefore 9221 is a prime number.

As a consequence, 9221 is only a multiple of 1 and 9221.

Since 9221 is a prime number, 9221 is also a deficient number, that is to say 9221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9221 without 9221 itself (that is 1, by definition!).

## Parity of 9221

9221 is an odd number, because it is not evenly divisible by 2.

## Is 9221 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 9221 is about 96.026.

Thus, the square root of 9221 is not an integer, and therefore 9221 is not a square number.

Anyway, 9221 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9221?

The square of a number (here 9221) is the result of the product of this number (9221) by itself (i.e., 9221 × 9221); the square of 9221 is sometimes called "raising 9221 to the power 2", or "9221 squared".

The square of 9221 is 85 026 841 because 9221 × 9221 = 92212 = 85 026 841.

As a consequence, 9221 is the square root of 85 026 841.

## Number of digits of 9221

9221 is a number with 4 digits.

## What are the multiples of 9221?

The multiples of 9221 are all integers evenly divisible by 9221, that is all numbers such that the remainder of the division by 9221 is zero. There are infinitely many multiples of 9221. The smallest multiples of 9221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9221 too, since 0 × 9221 = 0
• 9221: indeed, 9221 is a multiple of itself, since 9221 is evenly divisible by 9221 (we have 9221 / 9221 = 1, so the remainder of this division is indeed zero)
• 18 442: indeed, 18 442 = 9221 × 2
• 27 663: indeed, 27 663 = 9221 × 3
• 36 884: indeed, 36 884 = 9221 × 4
• 46 105: indeed, 46 105 = 9221 × 5
• etc.

## Nearest numbers from 9221

Find out whether some integer is a prime number