33912 has 32 divisors (see below), whose sum is σ = 94800. Its totient is φ = 11232.

The previous prime is 33911. The next prime is 33923. The reversal of 33912 is 21933.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (162) is a multiple of the sum of its prime divisors (162).

It is a plaindrome in base 13.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33911) 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, 138 + ... + 294.

2³³⁹¹² 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 33912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47400).

33912 is an abundant number, since it is smaller than the sum of its proper divisors (60888).

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

33912 is a wasteful number, since it uses less digits than its factorization.

33912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 33912 is about 184.1521110387. The cubic root of 33912 is about 32.3681442727.

Adding to 33912 its sum of digits (18), we get a triangular number (33930 = T₂₆₀).

It can be divided in two parts, 339 and 12, that added together give a triangular number (351 = T₂₆).

The spelling of 33912 in words is "thirty-three thousand, nine hundred twelve".