Is 5573 a prime number? What are the divisors of 5573?

## Is 5573 a prime number?

Yes, 5573 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 5573, the only two divisors are 1 and 5573. Therefore 5573 is a prime number.

As a consequence, 5573 is only a multiple of 1 and 5573.

Since 5573 is a prime number, 5573 is also a deficient number, that is to say 5573 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5573 without 5573 itself (that is 1, by definition!).

## Parity of 5573

5573 is an odd number, because it is not evenly divisible by 2.

## Is 5573 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 5573 is about 74.653.

Thus, the square root of 5573 is not an integer, and therefore 5573 is not a square number.

Anyway, 5573 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5573?

The square of a number (here 5573) is the result of the product of this number (5573) by itself (i.e., 5573 × 5573); the square of 5573 is sometimes called "raising 5573 to the power 2", or "5573 squared".

The square of 5573 is 31 058 329 because 5573 × 5573 = 55732 = 31 058 329.

As a consequence, 5573 is the square root of 31 058 329.

## Number of digits of 5573

5573 is a number with 4 digits.

## What are the multiples of 5573?

The multiples of 5573 are all integers evenly divisible by 5573, that is all numbers such that the remainder of the division by 5573 is zero. There are infinitely many multiples of 5573. The smallest multiples of 5573 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5573 too, since 0 × 5573 = 0
• 5573: indeed, 5573 is a multiple of itself, since 5573 is evenly divisible by 5573 (we have 5573 / 5573 = 1, so the remainder of this division is indeed zero)
• 11 146: indeed, 11 146 = 5573 × 2
• 16 719: indeed, 16 719 = 5573 × 3
• 22 292: indeed, 22 292 = 5573 × 4
• 27 865: indeed, 27 865 = 5573 × 5
• etc.

## Nearest numbers from 5573

Find out whether some integer is a prime number