33696 has 60 divisors (see below), whose sum is σ = 106722. Its totient is φ = 10368.

The previous prime is 33679. The next prime is 33703. The reversal of 33696 is 69633.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 1296 = 180^2 + 36^2 .

It is a super-2 number, since 2×33696² = 2270840832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

Its product of digits (2916) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33696.

It is an unprimeable number.

33696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2586 + ... + 2598.

33696 is a Friedman number, since it can be written as 936*36, using all its digits and the basic arithmetic operations.

2³³⁶⁹⁶ is an apocalyptic number.

33696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361).

33696 is an abundant number, since it is smaller than the sum of its proper divisors (73026).

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

33696 is a wasteful number, since it uses less digits than its factorization.

33696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 18 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 33696 is about 183.5647024893. The cubic root of 33696 is about 32.2992756725.

Subtracting 33696 from its reverse (69633), we obtain a cube (35937 = 33³).

It can be divided in two parts, 3369 and 6, that added together give a cube (3375 = 15³).

The spelling of 33696 in words is "thirty-three thousand, six hundred ninety-six".