Is 7369 a prime number? What are the divisors of 7369?

## Is 7369 a prime number?

Yes, 7369 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 7369, the only two divisors are 1 and 7369. Therefore 7369 is a prime number.

As a consequence, 7369 is only a multiple of 1 and 7369.

Since 7369 is a prime number, 7369 is also a deficient number, that is to say 7369 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7369 without 7369 itself (that is 1, by definition!).

## Parity of 7369

7369 is an odd number, because it is not evenly divisible by 2.

## Is 7369 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 7369 is about 85.843.

Thus, the square root of 7369 is not an integer, and therefore 7369 is not a square number.

Anyway, 7369 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7369?

The square of a number (here 7369) is the result of the product of this number (7369) by itself (i.e., 7369 × 7369); the square of 7369 is sometimes called "raising 7369 to the power 2", or "7369 squared".

The square of 7369 is 54 302 161 because 7369 × 7369 = 73692 = 54 302 161.

As a consequence, 7369 is the square root of 54 302 161.

## Number of digits of 7369

7369 is a number with 4 digits.

## What are the multiples of 7369?

The multiples of 7369 are all integers evenly divisible by 7369, that is all numbers such that the remainder of the division by 7369 is zero. There are infinitely many multiples of 7369. The smallest multiples of 7369 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7369 too, since 0 × 7369 = 0
• 7369: indeed, 7369 is a multiple of itself, since 7369 is evenly divisible by 7369 (we have 7369 / 7369 = 1, so the remainder of this division is indeed zero)
• 14 738: indeed, 14 738 = 7369 × 2
• 22 107: indeed, 22 107 = 7369 × 3
• 29 476: indeed, 29 476 = 7369 × 4
• 36 845: indeed, 36 845 = 7369 × 5
• etc.

## Nearest numbers from 7369

Find out whether some integer is a prime number