33855 has 16 divisors (see below), whose sum is σ = 56544. Its totient is φ = 17280.

The previous prime is 33851. The next prime is 33857. The reversal of 33855 is 55833.

33855 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 184²-1.

It is not a de Polignac number, because 33855 - 2² = 33851 is a prime.

It is a super-2 number, since 2×33855² = 2292322050, which contains 22 as substring.

It is an Ulam number.

33855 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2³³⁸⁵⁵ is an apocalyptic number.

33855 is a deficient number, since it is larger than the sum of its proper divisors (22689).

33855 is a wasteful number, since it uses less digits than its factorization.

33855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 1800, while the sum is 24.

The square root of 33855 is about 183.9972825886. The cubic root of 33855 is about 32.3499990843.

It can be divided in two parts, 338 and 55, that added together give a palindrome (393).

The spelling of 33855 in words is "thirty-three thousand, eight hundred fifty-five".