33405136 has 40 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 15613440.

The previous prime is 33405133. The next prime is 33405137. The reversal of 33405136 is 63150433.

It is a super-2 number, since 2×33405136² = 2231806222356992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33405136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33405133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51631 + ... + 52273.

Almost surely, 2^33405136 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 33405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

33405136 is an abundant number, since it is smaller than the sum of its proper divisors (35590448).

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

33405136 is a wasteful number, since it uses less digits than its factorization.

33405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 33405136 is about 5779.7176401620. The cubic root of 33405136 is about 322.0607115184.

Adding to 33405136 its reverse (63150433), we get a palindrome (96555569).

The spelling of 33405136 in words is "thirty-three million, four hundred five thousand, one hundred thirty-six".