Is 1361 a prime number? What are the divisors of 1361?

Is 1361 a prime number?

Yes, 1361 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 1361, the only two divisors are 1 and 1361. Therefore 1361 is a prime number.

As a consequence, 1361 is only a multiple of 1 and 1361.

Since 1361 is a prime number, 1361 is also a deficient number, that is to say 1361 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1361 without 1361 itself (that is 1, by definition!).

Parity of 1361

1361 is an odd number, because it is not evenly divisible by 2.

Is 1361 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 1361 is about 36.892.

Thus, the square root of 1361 is not an integer, and therefore 1361 is not a square number.

Anyway, 1361 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1361?

The square of a number (here 1361) is the result of the product of this number (1361) by itself (i.e., 1361 × 1361); the square of 1361 is sometimes called "raising 1361 to the power 2", or "1361 squared".

The square of 1361 is 1 852 321 because 1361 × 1361 = 13612 = 1 852 321.

As a consequence, 1361 is the square root of 1 852 321.

Number of digits of 1361

1361 is a number with 4 digits.

What are the multiples of 1361?

The multiples of 1361 are all integers evenly divisible by 1361, that is all numbers such that the remainder of the division by 1361 is zero. There are infinitely many multiples of 1361. The smallest multiples of 1361 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1361 too, since 0 × 1361 = 0
  • 1361: indeed, 1361 is a multiple of itself, since 1361 is evenly divisible by 1361 (we have 1361 / 1361 = 1, so the remainder of this division is indeed zero)
  • 2 722: indeed, 2 722 = 1361 × 2
  • 4 083: indeed, 4 083 = 1361 × 3
  • 5 444: indeed, 5 444 = 1361 × 4
  • 6 805: indeed, 6 805 = 1361 × 5
  • etc.

Numbers near 1361

Nearest numbers from 1361

Find out whether some integer is a prime number