33796 has 24 divisors (see below), whose sum is σ = 72576. Its totient is φ = 13440.

The previous prime is 33791. The next prime is 33797. The reversal of 33796 is 69733.

33796 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33796² = 2284339232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (33791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³³⁷⁹⁶ 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 33796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

33796 is an abundant number, since it is smaller than the sum of its proper divisors (38780).

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

33796 is a wasteful number, since it uses less digits than its factorization.

33796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 3402, while the sum is 28.

The square root of 33796 is about 183.8368842208. The cubic root of 33796 is about 32.3311957586.

Subtracting 33796 from its reverse (69733), we obtain a cube (35937 = 33³).

The spelling of 33796 in words is "thirty-three thousand, seven hundred ninety-six".