Is 8221 a prime number? What are the divisors of 8221?

## Is 8221 a prime number?

Yes, 8221 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 8221, the only two divisors are 1 and 8221. Therefore 8221 is a prime number.

As a consequence, 8221 is only a multiple of 1 and 8221.

Since 8221 is a prime number, 8221 is also a deficient number, that is to say 8221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8221 without 8221 itself (that is 1, by definition!).

## Parity of 8221

8221 is an odd number, because it is not evenly divisible by 2.

## Is 8221 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 8221 is about 90.670.

Thus, the square root of 8221 is not an integer, and therefore 8221 is not a square number.

Anyway, 8221 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8221?

The square of a number (here 8221) is the result of the product of this number (8221) by itself (i.e., 8221 × 8221); the square of 8221 is sometimes called "raising 8221 to the power 2", or "8221 squared".

The square of 8221 is 67 584 841 because 8221 × 8221 = 82212 = 67 584 841.

As a consequence, 8221 is the square root of 67 584 841.

## Number of digits of 8221

8221 is a number with 4 digits.

## What are the multiples of 8221?

The multiples of 8221 are all integers evenly divisible by 8221, that is all numbers such that the remainder of the division by 8221 is zero. There are infinitely many multiples of 8221. The smallest multiples of 8221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8221 too, since 0 × 8221 = 0
• 8221: indeed, 8221 is a multiple of itself, since 8221 is evenly divisible by 8221 (we have 8221 / 8221 = 1, so the remainder of this division is indeed zero)
• 16 442: indeed, 16 442 = 8221 × 2
• 24 663: indeed, 24 663 = 8221 × 3
• 32 884: indeed, 32 884 = 8221 × 4
• 41 105: indeed, 41 105 = 8221 × 5
• etc.

## Nearest numbers from 8221

Find out whether some integer is a prime number