33813972 has 36 divisors (see below), whose sum is σ = 85802080. Its totient is φ = 11228112.

The previous prime is 33813961. The next prime is 33813991. The reversal of 33813972 is 27931833.

It is a happy number.

33813972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33813972² = 2286769404833568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8529 + ... + 11847.

Almost surely, 2^33813972 is an apocalyptic number.

It is an amenable number.

33813972 is an abundant number, since it is smaller than the sum of its proper divisors (51988108).

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

33813972 is a wasteful number, since it uses less digits than its factorization.

33813972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3607 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 33813972 is about 5814.9782458750. The cubic root of 33813972 is about 323.3692575902.

The spelling of 33813972 in words is "thirty-three million, eight hundred thirteen thousand, nine hundred seventy-two".