Is 3221 a prime number? What are the divisors of 3221?

## Is 3221 a prime number?

Yes, 3221 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 3221, the only two divisors are 1 and 3221. Therefore 3221 is a prime number.

As a consequence, 3221 is only a multiple of 1 and 3221.

Since 3221 is a prime number, 3221 is also a deficient number, that is to say 3221 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3221 without 3221 itself (that is 1, by definition!).

## Parity of 3221

3221 is an odd number, because it is not evenly divisible by 2.

## Is 3221 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 3221 is about 56.754.

Thus, the square root of 3221 is not an integer, and therefore 3221 is not a square number.

Anyway, 3221 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3221?

The square of a number (here 3221) is the result of the product of this number (3221) by itself (i.e., 3221 × 3221); the square of 3221 is sometimes called "raising 3221 to the power 2", or "3221 squared".

The square of 3221 is 10 374 841 because 3221 × 3221 = 32212 = 10 374 841.

As a consequence, 3221 is the square root of 10 374 841.

## Number of digits of 3221

3221 is a number with 4 digits.

## What are the multiples of 3221?

The multiples of 3221 are all integers evenly divisible by 3221, that is all numbers such that the remainder of the division by 3221 is zero. There are infinitely many multiples of 3221. The smallest multiples of 3221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3221 too, since 0 × 3221 = 0
• 3221: indeed, 3221 is a multiple of itself, since 3221 is evenly divisible by 3221 (we have 3221 / 3221 = 1, so the remainder of this division is indeed zero)
• 6 442: indeed, 6 442 = 3221 × 2
• 9 663: indeed, 9 663 = 3221 × 3
• 12 884: indeed, 12 884 = 3221 × 4
• 16 105: indeed, 16 105 = 3221 × 5
• etc.

## Nearest numbers from 3221

Find out whether some integer is a prime number