Is 7349 a prime number? What are the divisors of 7349?

## Is 7349 a prime number?

Yes, 7349 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 7349, the only two divisors are 1 and 7349. Therefore 7349 is a prime number.

As a consequence, 7349 is only a multiple of 1 and 7349.

Since 7349 is a prime number, 7349 is also a deficient number, that is to say 7349 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7349 without 7349 itself (that is 1, by definition!).

## Parity of 7349

7349 is an odd number, because it is not evenly divisible by 2.

## Is 7349 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 7349 is about 85.726.

Thus, the square root of 7349 is not an integer, and therefore 7349 is not a square number.

Anyway, 7349 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7349?

The square of a number (here 7349) is the result of the product of this number (7349) by itself (i.e., 7349 × 7349); the square of 7349 is sometimes called "raising 7349 to the power 2", or "7349 squared".

The square of 7349 is 54 007 801 because 7349 × 7349 = 73492 = 54 007 801.

As a consequence, 7349 is the square root of 54 007 801.

## Number of digits of 7349

7349 is a number with 4 digits.

## What are the multiples of 7349?

The multiples of 7349 are all integers evenly divisible by 7349, that is all numbers such that the remainder of the division by 7349 is zero. There are infinitely many multiples of 7349. The smallest multiples of 7349 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7349 too, since 0 × 7349 = 0
• 7349: indeed, 7349 is a multiple of itself, since 7349 is evenly divisible by 7349 (we have 7349 / 7349 = 1, so the remainder of this division is indeed zero)
• 14 698: indeed, 14 698 = 7349 × 2
• 22 047: indeed, 22 047 = 7349 × 3
• 29 396: indeed, 29 396 = 7349 × 4
• 36 745: indeed, 36 745 = 7349 × 5
• etc.

## Nearest numbers from 7349

Find out whether some integer is a prime number