33704 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 15280.

The previous prime is 33703. The next prime is 33713. The reversal of 33704 is 40733.

It is a super-2 number, since 2×33704² = 2271919232, which contains 22 as substring.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33704.

It is not an unprimeable number, because it can be changed into a prime (33703) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³³⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

33704 is an abundant number, since it is smaller than the sum of its proper divisors (35416).

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 (34560).

33704 is a wasteful number, since it uses less digits than its factorization.

33704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 33704 is about 183.5864918778. The cubic root of 33704 is about 32.3018316016.

It can be divided in two parts, 33 and 704, that multiplied together give a palindrome (23232).

The spelling of 33704 in words is "thirty-three thousand, seven hundred four".