Is 1327 a prime number? What are the divisors of 1327?

Is 1327 a prime number?

Yes, 1327 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 1327, the only two divisors are 1 and 1327. Therefore 1327 is a prime number.

As a consequence, 1327 is only a multiple of 1 and 1327.

Since 1327 is a prime number, 1327 is also a deficient number, that is to say 1327 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1327 without 1327 itself (that is 1, by definition!).

Parity of 1327

1327 is an odd number, because it is not evenly divisible by 2.

Is 1327 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 1327 is about 36.428.

Thus, the square root of 1327 is not an integer, and therefore 1327 is not a square number.

Anyway, 1327 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1327?

The square of a number (here 1327) is the result of the product of this number (1327) by itself (i.e., 1327 × 1327); the square of 1327 is sometimes called "raising 1327 to the power 2", or "1327 squared".

The square of 1327 is 1 760 929 because 1327 × 1327 = 13272 = 1 760 929.

As a consequence, 1327 is the square root of 1 760 929.

Number of digits of 1327

1327 is a number with 4 digits.

What are the multiples of 1327?

The multiples of 1327 are all integers evenly divisible by 1327, that is all numbers such that the remainder of the division by 1327 is zero. There are infinitely many multiples of 1327. The smallest multiples of 1327 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1327 too, since 0 × 1327 = 0
  • 1327: indeed, 1327 is a multiple of itself, since 1327 is evenly divisible by 1327 (we have 1327 / 1327 = 1, so the remainder of this division is indeed zero)
  • 2 654: indeed, 2 654 = 1327 × 2
  • 3 981: indeed, 3 981 = 1327 × 3
  • 5 308: indeed, 5 308 = 1327 × 4
  • 6 635: indeed, 6 635 = 1327 × 5
  • etc.

Numbers near 1327

Nearest numbers from 1327

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