33936 has 40 divisors (see below), whose sum is σ = 101184. Its totient is φ = 9600.

The previous prime is 33931. The next prime is 33937. The reversal of 33936 is 63933.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (33931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 386.

2³³⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592).

33936 is an abundant number, since it is smaller than the sum of its proper divisors (67248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33936 is a wasteful number, since it uses less digits than its factorization.

33936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

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

The square root of 33936 is about 184.2172630347. The cubic root of 33936 is about 32.3757782692.

It can be divided in two parts, 33 and 936, that added together give a palindrome (969).

The spelling of 33936 in words is "thirty-three thousand, nine hundred thirty-six".