Is 42467 a prime number? What are the divisors of 42467?

## Is 42467 a prime number?

Yes, 42467 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 42467, the only two divisors are 1 and 42467. Therefore 42467 is a prime number.

As a consequence, 42467 is only a multiple of 1 and 42467.

Since 42467 is a prime number, 42467 is also a deficient number, that is to say 42467 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42467 without 42467 itself (that is 1, by definition!).

## Parity of 42467

42467 is an odd number, because it is not evenly divisible by 2.

## Is 42467 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 42467 is about 206.075.

Thus, the square root of 42467 is not an integer, and therefore 42467 is not a square number.

Anyway, 42467 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 42467?

The square of a number (here 42467) is the result of the product of this number (42467) by itself (i.e., 42467 × 42467); the square of 42467 is sometimes called "raising 42467 to the power 2", or "42467 squared".

The square of 42467 is 1 803 446 089 because 42467 × 42467 = 424672 = 1 803 446 089.

As a consequence, 42467 is the square root of 1 803 446 089.

## Number of digits of 42467

42467 is a number with 5 digits.

## What are the multiples of 42467?

The multiples of 42467 are all integers evenly divisible by 42467, that is all numbers such that the remainder of the division by 42467 is zero. There are infinitely many multiples of 42467. The smallest multiples of 42467 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42467 too, since 0 × 42467 = 0
• 42467: indeed, 42467 is a multiple of itself, since 42467 is evenly divisible by 42467 (we have 42467 / 42467 = 1, so the remainder of this division is indeed zero)
• 84 934: indeed, 84 934 = 42467 × 2
• 127 401: indeed, 127 401 = 42467 × 3
• 169 868: indeed, 169 868 = 42467 × 4
• 212 335: indeed, 212 335 = 42467 × 5
• etc.

## Nearest numbers from 42467

Find out whether some integer is a prime number