Is 49367 a prime number? What are the divisors of 49367?

## Is 49367 a prime number?

Yes, 49367 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 49367, the only two divisors are 1 and 49367. Therefore 49367 is a prime number.

As a consequence, 49367 is only a multiple of 1 and 49367.

Since 49367 is a prime number, 49367 is also a deficient number, that is to say 49367 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49367 without 49367 itself (that is 1, by definition!).

## Parity of 49367

49367 is an odd number, because it is not evenly divisible by 2.

## Is 49367 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 49367 is about 222.187.

Thus, the square root of 49367 is not an integer, and therefore 49367 is not a square number.

Anyway, 49367 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 49367?

The square of a number (here 49367) is the result of the product of this number (49367) by itself (i.e., 49367 × 49367); the square of 49367 is sometimes called "raising 49367 to the power 2", or "49367 squared".

The square of 49367 is 2 437 100 689 because 49367 × 49367 = 493672 = 2 437 100 689.

As a consequence, 49367 is the square root of 2 437 100 689.

## Number of digits of 49367

49367 is a number with 5 digits.

## What are the multiples of 49367?

The multiples of 49367 are all integers evenly divisible by 49367, that is all numbers such that the remainder of the division by 49367 is zero. There are infinitely many multiples of 49367. The smallest multiples of 49367 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 49367 too, since 0 × 49367 = 0
• 49367: indeed, 49367 is a multiple of itself, since 49367 is evenly divisible by 49367 (we have 49367 / 49367 = 1, so the remainder of this division is indeed zero)
• 98 734: indeed, 98 734 = 49367 × 2
• 148 101: indeed, 148 101 = 49367 × 3
• 197 468: indeed, 197 468 = 49367 × 4
• 246 835: indeed, 246 835 = 49367 × 5
• etc.

## Nearest numbers from 49367

Find out whether some integer is a prime number