Is 2267 a prime number? What are the divisors of 2267?

## Is 2267 a prime number?

Yes, 2267 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 2267, the only two divisors are 1 and 2267. Therefore 2267 is a prime number.

As a consequence, 2267 is only a multiple of 1 and 2267.

Since 2267 is a prime number, 2267 is also a deficient number, that is to say 2267 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2267 without 2267 itself (that is 1, by definition!).

## Parity of 2267

2267 is an odd number, because it is not evenly divisible by 2.

## Is 2267 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 2267 is about 47.613.

Thus, the square root of 2267 is not an integer, and therefore 2267 is not a square number.

Anyway, 2267 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2267?

The square of a number (here 2267) is the result of the product of this number (2267) by itself (i.e., 2267 × 2267); the square of 2267 is sometimes called "raising 2267 to the power 2", or "2267 squared".

The square of 2267 is 5 139 289 because 2267 × 2267 = 22672 = 5 139 289.

As a consequence, 2267 is the square root of 5 139 289.

## Number of digits of 2267

2267 is a number with 4 digits.

## What are the multiples of 2267?

The multiples of 2267 are all integers evenly divisible by 2267, that is all numbers such that the remainder of the division by 2267 is zero. There are infinitely many multiples of 2267. The smallest multiples of 2267 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2267 too, since 0 × 2267 = 0
• 2267: indeed, 2267 is a multiple of itself, since 2267 is evenly divisible by 2267 (we have 2267 / 2267 = 1, so the remainder of this division is indeed zero)
• 4 534: indeed, 4 534 = 2267 × 2
• 6 801: indeed, 6 801 = 2267 × 3
• 9 068: indeed, 9 068 = 2267 × 4
• 11 335: indeed, 11 335 = 2267 × 5
• etc.

## Nearest numbers from 2267

Find out whether some integer is a prime number