Is 5527 a prime number? What are the divisors of 5527?

## Is 5527 a prime number?

Yes, 5527 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 5527, the only two divisors are 1 and 5527. Therefore 5527 is a prime number.

As a consequence, 5527 is only a multiple of 1 and 5527.

Since 5527 is a prime number, 5527 is also a deficient number, that is to say 5527 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5527 without 5527 itself (that is 1, by definition!).

## Parity of 5527

5527 is an odd number, because it is not evenly divisible by 2.

## Is 5527 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 5527 is about 74.344.

Thus, the square root of 5527 is not an integer, and therefore 5527 is not a square number.

Anyway, 5527 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5527?

The square of a number (here 5527) is the result of the product of this number (5527) by itself (i.e., 5527 × 5527); the square of 5527 is sometimes called "raising 5527 to the power 2", or "5527 squared".

The square of 5527 is 30 547 729 because 5527 × 5527 = 55272 = 30 547 729.

As a consequence, 5527 is the square root of 30 547 729.

## Number of digits of 5527

5527 is a number with 4 digits.

## What are the multiples of 5527?

The multiples of 5527 are all integers evenly divisible by 5527, that is all numbers such that the remainder of the division by 5527 is zero. There are infinitely many multiples of 5527. The smallest multiples of 5527 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5527 too, since 0 × 5527 = 0
• 5527: indeed, 5527 is a multiple of itself, since 5527 is evenly divisible by 5527 (we have 5527 / 5527 = 1, so the remainder of this division is indeed zero)
• 11 054: indeed, 11 054 = 5527 × 2
• 16 581: indeed, 16 581 = 5527 × 3
• 22 108: indeed, 22 108 = 5527 × 4
• 27 635: indeed, 27 635 = 5527 × 5
• etc.

## Nearest numbers from 5527

Find out whether some integer is a prime number