33404 has 12 divisors (see below), whose sum is σ = 66864. Its totient is φ = 14304.

The previous prime is 33403. The next prime is 33409. The reversal of 33404 is 40433.

33404 = T₁₇ + T₁₈ + ... + T₅₈.

33404 is an admirable number.

It is a super-2 number, since 2×33404² = 2231654432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 569 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (5572).

2³³⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

33404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33432).

33404 is a wasteful number, since it uses less digits than its factorization.

33404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 33404 is about 182.7676120104. The cubic root of 33404 is about 32.2057060731.

Adding to 33404 its reverse (40433), we get a palindrome (73837).

The spelling of 33404 in words is "thirty-three thousand, four hundred four".