Is 9473 a prime number? What are the divisors of 9473?

## Is 9473 a prime number?

Yes, 9473 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 9473, the only two divisors are 1 and 9473. Therefore 9473 is a prime number.

As a consequence, 9473 is only a multiple of 1 and 9473.

Since 9473 is a prime number, 9473 is also a deficient number, that is to say 9473 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9473 without 9473 itself (that is 1, by definition!).

## Parity of 9473

9473 is an odd number, because it is not evenly divisible by 2.

## Is 9473 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 9473 is about 97.329.

Thus, the square root of 9473 is not an integer, and therefore 9473 is not a square number.

Anyway, 9473 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9473?

The square of a number (here 9473) is the result of the product of this number (9473) by itself (i.e., 9473 × 9473); the square of 9473 is sometimes called "raising 9473 to the power 2", or "9473 squared".

The square of 9473 is 89 737 729 because 9473 × 9473 = 94732 = 89 737 729.

As a consequence, 9473 is the square root of 89 737 729.

## Number of digits of 9473

9473 is a number with 4 digits.

## What are the multiples of 9473?

The multiples of 9473 are all integers evenly divisible by 9473, that is all numbers such that the remainder of the division by 9473 is zero. There are infinitely many multiples of 9473. The smallest multiples of 9473 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9473 too, since 0 × 9473 = 0
• 9473: indeed, 9473 is a multiple of itself, since 9473 is evenly divisible by 9473 (we have 9473 / 9473 = 1, so the remainder of this division is indeed zero)
• 18 946: indeed, 18 946 = 9473 × 2
• 28 419: indeed, 28 419 = 9473 × 3
• 37 892: indeed, 37 892 = 9473 × 4
• 47 365: indeed, 47 365 = 9473 × 5
• etc.

## Nearest numbers from 9473

Find out whether some integer is a prime number