Is 5273 a prime number? What are the divisors of 5273?

## Is 5273 a prime number?

Yes, 5273 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 5273, the only two divisors are 1 and 5273. Therefore 5273 is a prime number.

As a consequence, 5273 is only a multiple of 1 and 5273.

Since 5273 is a prime number, 5273 is also a deficient number, that is to say 5273 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5273 without 5273 itself (that is 1, by definition!).

## Parity of 5273

5273 is an odd number, because it is not evenly divisible by 2.

## Is 5273 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 5273 is about 72.615.

Thus, the square root of 5273 is not an integer, and therefore 5273 is not a square number.

Anyway, 5273 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5273?

The square of a number (here 5273) is the result of the product of this number (5273) by itself (i.e., 5273 × 5273); the square of 5273 is sometimes called "raising 5273 to the power 2", or "5273 squared".

The square of 5273 is 27 804 529 because 5273 × 5273 = 52732 = 27 804 529.

As a consequence, 5273 is the square root of 27 804 529.

## Number of digits of 5273

5273 is a number with 4 digits.

## What are the multiples of 5273?

The multiples of 5273 are all integers evenly divisible by 5273, that is all numbers such that the remainder of the division by 5273 is zero. There are infinitely many multiples of 5273. The smallest multiples of 5273 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5273 too, since 0 × 5273 = 0
• 5273: indeed, 5273 is a multiple of itself, since 5273 is evenly divisible by 5273 (we have 5273 / 5273 = 1, so the remainder of this division is indeed zero)
• 10 546: indeed, 10 546 = 5273 × 2
• 15 819: indeed, 15 819 = 5273 × 3
• 21 092: indeed, 21 092 = 5273 × 4
• 26 365: indeed, 26 365 = 5273 × 5
• etc.

## Nearest numbers from 5273

Find out whether some integer is a prime number