Is 2221 a prime number? What are the divisors of 2221?

## Is 2221 a prime number?

Yes, 2221 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 2221, the only two divisors are 1 and 2221. Therefore 2221 is a prime number.

As a consequence, 2221 is only a multiple of 1 and 2221.

Since 2221 is a prime number, 2221 is also a deficient number, that is to say 2221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2221 without 2221 itself (that is 1, by definition!).

## Parity of 2221

2221 is an odd number, because it is not evenly divisible by 2.

## Is 2221 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 2221 is about 47.127.

Thus, the square root of 2221 is not an integer, and therefore 2221 is not a square number.

Anyway, 2221 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2221?

The square of a number (here 2221) is the result of the product of this number (2221) by itself (i.e., 2221 × 2221); the square of 2221 is sometimes called "raising 2221 to the power 2", or "2221 squared".

The square of 2221 is 4 932 841 because 2221 × 2221 = 22212 = 4 932 841.

As a consequence, 2221 is the square root of 4 932 841.

## Number of digits of 2221

2221 is a number with 4 digits.

## What are the multiples of 2221?

The multiples of 2221 are all integers evenly divisible by 2221, that is all numbers such that the remainder of the division by 2221 is zero. There are infinitely many multiples of 2221. The smallest multiples of 2221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2221 too, since 0 × 2221 = 0
• 2221: indeed, 2221 is a multiple of itself, since 2221 is evenly divisible by 2221 (we have 2221 / 2221 = 1, so the remainder of this division is indeed zero)
• 4 442: indeed, 4 442 = 2221 × 2
• 6 663: indeed, 6 663 = 2221 × 3
• 8 884: indeed, 8 884 = 2221 × 4
• 11 105: indeed, 11 105 = 2221 × 5
• etc.

## Nearest numbers from 2221

Find out whether some integer is a prime number