33996 has 12 divisors (see below), whose sum is σ = 79352. Its totient is φ = 11328.

The previous prime is 33967. The next prime is 33997. The reversal of 33996 is 69933.

33996 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33996.

It is not an unprimeable number, because it can be changed into a prime (33997) by changing a digit.

33996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1405 + ... + 1428.

2³³⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

33996 is an abundant number, since it is smaller than the sum of its proper divisors (45356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39676).

33996 is a wasteful number, since it uses less digits than its factorization.

33996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2838 counting only the distinct ones).

The product of its digits is 4374, while the sum is 30.

The square root of 33996 is about 184.3800423039. The cubic root of 33996 is about 32.3948475270.

Subtracting 33996 from its reverse (69933), we obtain a cube (35937 = 33³).

It can be divided in two parts, 339 and 96, that added together give a triangular number (435 = T₂₉).

The spelling of 33996 in words is "thirty-three thousand, nine hundred ninety-six".