Is 5531 a prime number? What are the divisors of 5531?

## Is 5531 a prime number?

Yes, 5531 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 5531, the only two divisors are 1 and 5531. Therefore 5531 is a prime number.

As a consequence, 5531 is only a multiple of 1 and 5531.

Since 5531 is a prime number, 5531 is also a deficient number, that is to say 5531 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5531 without 5531 itself (that is 1, by definition!).

## Parity of 5531

5531 is an odd number, because it is not evenly divisible by 2.

## Is 5531 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 5531 is about 74.371.

Thus, the square root of 5531 is not an integer, and therefore 5531 is not a square number.

Anyway, 5531 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5531?

The square of a number (here 5531) is the result of the product of this number (5531) by itself (i.e., 5531 × 5531); the square of 5531 is sometimes called "raising 5531 to the power 2", or "5531 squared".

The square of 5531 is 30 591 961 because 5531 × 5531 = 55312 = 30 591 961.

As a consequence, 5531 is the square root of 30 591 961.

## Number of digits of 5531

5531 is a number with 4 digits.

## What are the multiples of 5531?

The multiples of 5531 are all integers evenly divisible by 5531, that is all numbers such that the remainder of the division by 5531 is zero. There are infinitely many multiples of 5531. The smallest multiples of 5531 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5531 too, since 0 × 5531 = 0
• 5531: indeed, 5531 is a multiple of itself, since 5531 is evenly divisible by 5531 (we have 5531 / 5531 = 1, so the remainder of this division is indeed zero)
• 11 062: indeed, 11 062 = 5531 × 2
• 16 593: indeed, 16 593 = 5531 × 3
• 22 124: indeed, 22 124 = 5531 × 4
• 27 655: indeed, 27 655 = 5531 × 5
• etc.

## Nearest numbers from 5531

Find out whether some integer is a prime number