Is 16349 a prime number? What are the divisors of 16349?

## Is 16349 a prime number?

Yes, 16349 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 16349, the only two divisors are 1 and 16349. Therefore 16349 is a prime number.

As a consequence, 16349 is only a multiple of 1 and 16349.

Since 16349 is a prime number, 16349 is also a deficient number, that is to say 16349 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 16349 without 16349 itself (that is 1, by definition!).

## Parity of 16349

16349 is an odd number, because it is not evenly divisible by 2.

## Is 16349 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 16349 is about 127.863.

Thus, the square root of 16349 is not an integer, and therefore 16349 is not a square number.

Anyway, 16349 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 16349?

The square of a number (here 16349) is the result of the product of this number (16349) by itself (i.e., 16349 × 16349); the square of 16349 is sometimes called "raising 16349 to the power 2", or "16349 squared".

The square of 16349 is 267 289 801 because 16349 × 16349 = 163492 = 267 289 801.

As a consequence, 16349 is the square root of 267 289 801.

## Number of digits of 16349

16349 is a number with 5 digits.

## What are the multiples of 16349?

The multiples of 16349 are all integers evenly divisible by 16349, that is all numbers such that the remainder of the division by 16349 is zero. There are infinitely many multiples of 16349. The smallest multiples of 16349 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 16349 too, since 0 × 16349 = 0
• 16349: indeed, 16349 is a multiple of itself, since 16349 is evenly divisible by 16349 (we have 16349 / 16349 = 1, so the remainder of this division is indeed zero)
• 32 698: indeed, 32 698 = 16349 × 2
• 49 047: indeed, 49 047 = 16349 × 3
• 65 396: indeed, 65 396 = 16349 × 4
• 81 745: indeed, 81 745 = 16349 × 5
• etc.

## Nearest numbers from 16349

Find out whether some integer is a prime number