33405904 has 40 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 14263680.

The previous prime is 33405871. The next prime is 33405907. The reversal of 33405904 is 40950433.

It is a super-2 number, since 2×33405904² = 2231908844114432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33405907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51309 + ... + 51955.

Almost surely, 2^33405904 is an apocalyptic number.

It is an amenable number.

33405904 is an abundant number, since it is smaller than the sum of its proper divisors (40839344).

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

33405904 is a wasteful number, since it uses less digits than its factorization.

33405904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 33405904 is about 5779.7840790119. The cubic root of 33405904 is about 322.0631796092.

The spelling of 33405904 in words is "thirty-three million, four hundred five thousand, nine hundred four".