Is 42773 a prime number? What are the divisors of 42773?

## Is 42773 a prime number?

Yes, 42773 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 42773, the only two divisors are 1 and 42773. Therefore 42773 is a prime number.

As a consequence, 42773 is only a multiple of 1 and 42773.

Since 42773 is a prime number, 42773 is also a deficient number, that is to say 42773 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42773 without 42773 itself (that is 1, by definition!).

## Parity of 42773

42773 is an odd number, because it is not evenly divisible by 2.

## Is 42773 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 42773 is about 206.816.

Thus, the square root of 42773 is not an integer, and therefore 42773 is not a square number.

Anyway, 42773 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 42773?

The square of a number (here 42773) is the result of the product of this number (42773) by itself (i.e., 42773 × 42773); the square of 42773 is sometimes called "raising 42773 to the power 2", or "42773 squared".

The square of 42773 is 1 829 529 529 because 42773 × 42773 = 427732 = 1 829 529 529.

As a consequence, 42773 is the square root of 1 829 529 529.

## Number of digits of 42773

42773 is a number with 5 digits.

## What are the multiples of 42773?

The multiples of 42773 are all integers evenly divisible by 42773, that is all numbers such that the remainder of the division by 42773 is zero. There are infinitely many multiples of 42773. The smallest multiples of 42773 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42773 too, since 0 × 42773 = 0
• 42773: indeed, 42773 is a multiple of itself, since 42773 is evenly divisible by 42773 (we have 42773 / 42773 = 1, so the remainder of this division is indeed zero)
• 85 546: indeed, 85 546 = 42773 × 2
• 128 319: indeed, 128 319 = 42773 × 3
• 171 092: indeed, 171 092 = 42773 × 4
• 213 865: indeed, 213 865 = 42773 × 5
• etc.

## Nearest numbers from 42773

Find out whether some integer is a prime number