Is 9067 a prime number? What are the divisors of 9067?

Is 9067 a prime number?

Yes, 9067 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 9067, the only two divisors are 1 and 9067. Therefore 9067 is a prime number.

As a consequence, 9067 is only a multiple of 1 and 9067.

Since 9067 is a prime number, 9067 is also a deficient number, that is to say 9067 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9067 without 9067 itself (that is 1, by definition!).

Parity of 9067

9067 is an odd number, because it is not evenly divisible by 2.

Is 9067 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 9067 is about 95.221.

Thus, the square root of 9067 is not an integer, and therefore 9067 is not a square number.

Anyway, 9067 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 9067?

The square of a number (here 9067) is the result of the product of this number (9067) by itself (i.e., 9067 × 9067); the square of 9067 is sometimes called "raising 9067 to the power 2", or "9067 squared".

The square of 9067 is 82 210 489 because 9067 × 9067 = 90672 = 82 210 489.

As a consequence, 9067 is the square root of 82 210 489.

Number of digits of 9067

9067 is a number with 4 digits.

What are the multiples of 9067?

The multiples of 9067 are all integers evenly divisible by 9067, that is all numbers such that the remainder of the division by 9067 is zero. There are infinitely many multiples of 9067. The smallest multiples of 9067 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9067 too, since 0 × 9067 = 0
  • 9067: indeed, 9067 is a multiple of itself, since 9067 is evenly divisible by 9067 (we have 9067 / 9067 = 1, so the remainder of this division is indeed zero)
  • 18 134: indeed, 18 134 = 9067 × 2
  • 27 201: indeed, 27 201 = 9067 × 3
  • 36 268: indeed, 36 268 = 9067 × 4
  • 45 335: indeed, 45 335 = 9067 × 5
  • etc.

Numbers near 9067

Nearest numbers from 9067

Find out whether some integer is a prime number