Is 5521 a prime number? What are the divisors of 5521?

## Is 5521 a prime number?

Yes, 5521 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 5521, the only two divisors are 1 and 5521. Therefore 5521 is a prime number.

As a consequence, 5521 is only a multiple of 1 and 5521.

Since 5521 is a prime number, 5521 is also a deficient number, that is to say 5521 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5521 without 5521 itself (that is 1, by definition!).

## Parity of 5521

5521 is an odd number, because it is not evenly divisible by 2.

## Is 5521 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 5521 is about 74.303.

Thus, the square root of 5521 is not an integer, and therefore 5521 is not a square number.

Anyway, 5521 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5521?

The square of a number (here 5521) is the result of the product of this number (5521) by itself (i.e., 5521 × 5521); the square of 5521 is sometimes called "raising 5521 to the power 2", or "5521 squared".

The square of 5521 is 30 481 441 because 5521 × 5521 = 55212 = 30 481 441.

As a consequence, 5521 is the square root of 30 481 441.

## Number of digits of 5521

5521 is a number with 4 digits.

## What are the multiples of 5521?

The multiples of 5521 are all integers evenly divisible by 5521, that is all numbers such that the remainder of the division by 5521 is zero. There are infinitely many multiples of 5521. The smallest multiples of 5521 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5521 too, since 0 × 5521 = 0
• 5521: indeed, 5521 is a multiple of itself, since 5521 is evenly divisible by 5521 (we have 5521 / 5521 = 1, so the remainder of this division is indeed zero)
• 11 042: indeed, 11 042 = 5521 × 2
• 16 563: indeed, 16 563 = 5521 × 3
• 22 084: indeed, 22 084 = 5521 × 4
• 27 605: indeed, 27 605 = 5521 × 5
• etc.

## Nearest numbers from 5521

Find out whether some integer is a prime number