Is 8273 a prime number? What are the divisors of 8273?

## Is 8273 a prime number?

Yes, 8273 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 8273, the only two divisors are 1 and 8273. Therefore 8273 is a prime number.

As a consequence, 8273 is only a multiple of 1 and 8273.

Since 8273 is a prime number, 8273 is also a deficient number, that is to say 8273 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8273 without 8273 itself (that is 1, by definition!).

## Parity of 8273

8273 is an odd number, because it is not evenly divisible by 2.

## Is 8273 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 8273 is about 90.956.

Thus, the square root of 8273 is not an integer, and therefore 8273 is not a square number.

Anyway, 8273 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8273?

The square of a number (here 8273) is the result of the product of this number (8273) by itself (i.e., 8273 × 8273); the square of 8273 is sometimes called "raising 8273 to the power 2", or "8273 squared".

The square of 8273 is 68 442 529 because 8273 × 8273 = 82732 = 68 442 529.

As a consequence, 8273 is the square root of 68 442 529.

## Number of digits of 8273

8273 is a number with 4 digits.

## What are the multiples of 8273?

The multiples of 8273 are all integers evenly divisible by 8273, that is all numbers such that the remainder of the division by 8273 is zero. There are infinitely many multiples of 8273. The smallest multiples of 8273 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8273 too, since 0 × 8273 = 0
• 8273: indeed, 8273 is a multiple of itself, since 8273 is evenly divisible by 8273 (we have 8273 / 8273 = 1, so the remainder of this division is indeed zero)
• 16 546: indeed, 16 546 = 8273 × 2
• 24 819: indeed, 24 819 = 8273 × 3
• 33 092: indeed, 33 092 = 8273 × 4
• 41 365: indeed, 41 365 = 8273 × 5
• etc.

## Nearest numbers from 8273

Find out whether some integer is a prime number