Is 5749 a prime number? What are the divisors of 5749?

## Is 5749 a prime number?

Yes, 5749 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 5749, the only two divisors are 1 and 5749. Therefore 5749 is a prime number.

As a consequence, 5749 is only a multiple of 1 and 5749.

Since 5749 is a prime number, 5749 is also a deficient number, that is to say 5749 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5749 without 5749 itself (that is 1, by definition!).

## Parity of 5749

5749 is an odd number, because it is not evenly divisible by 2.

## Is 5749 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 5749 is about 75.822.

Thus, the square root of 5749 is not an integer, and therefore 5749 is not a square number.

Anyway, 5749 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5749?

The square of a number (here 5749) is the result of the product of this number (5749) by itself (i.e., 5749 × 5749); the square of 5749 is sometimes called "raising 5749 to the power 2", or "5749 squared".

The square of 5749 is 33 051 001 because 5749 × 5749 = 57492 = 33 051 001.

As a consequence, 5749 is the square root of 33 051 001.

## Number of digits of 5749

5749 is a number with 4 digits.

## What are the multiples of 5749?

The multiples of 5749 are all integers evenly divisible by 5749, that is all numbers such that the remainder of the division by 5749 is zero. There are infinitely many multiples of 5749. The smallest multiples of 5749 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5749 too, since 0 × 5749 = 0
• 5749: indeed, 5749 is a multiple of itself, since 5749 is evenly divisible by 5749 (we have 5749 / 5749 = 1, so the remainder of this division is indeed zero)
• 11 498: indeed, 11 498 = 5749 × 2
• 17 247: indeed, 17 247 = 5749 × 3
• 22 996: indeed, 22 996 = 5749 × 4
• 28 745: indeed, 28 745 = 5749 × 5
• etc.

## Nearest numbers from 5749

Find out whether some integer is a prime number