36393 has 8 divisors (see below), whose sum is σ = 55488. Its totient is φ = 20784.

The previous prime is 36389. The next prime is 36433. The reversal of 36393 is 39363.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36393 - 2² = 36389 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (36313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (6936).

2³⁶³⁹³ is an apocalyptic number.

It is an amenable number.

36393 is a deficient number, since it is larger than the sum of its proper divisors (19095).

36393 is a wasteful number, since it uses less digits than its factorization.

36393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743.

The product of its digits is 1458, while the sum is 24.

The square root of 36393 is about 190.7694944167. The cubic root of 36393 is about 33.1389913602.

The spelling of 36393 in words is "thirty-six thousand, three hundred ninety-three".