36885 has 8 divisors (see below), whose sum is σ = 59040. Its totient is φ = 19664.

The previous prime is 36877. The next prime is 36887. The reversal of 36885 is 58863.

36885 = T₈₆ + T₈₇ + ... + T₉₄.

36885 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 36885 - 2³ = 36877 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36885.

It is not an unprimeable number, because it can be changed into a prime (36887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2³⁶⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

36885 is a deficient number, since it is larger than the sum of its proper divisors (22155).

36885 is a wasteful number, since it uses less digits than its factorization.

36885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467.

The product of its digits is 5760, while the sum is 30.

The square root of 36885 is about 192.0546797139. The cubic root of 36885 is about 33.2876596683.

Subtracting from 36885 its product of digits (5760), we obtain a triangular number (31125 = T₂₄₉).

The spelling of 36885 in words is "thirty-six thousand, eight hundred eighty-five".