33413920 has 24 divisors (see below), whose sum is σ = 78940764. Its totient is φ = 13365504.

The previous prime is 33413899. The next prime is 33413929. The reversal of 33413920 is 2931433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29203216 + 4210704 = 5404^2 + 2052^2 .

It is a super-2 number, since 2×33413920² = 2232980099532800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33413929) 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, 104259 + ... + 104578.

Almost surely, 2^33413920 is an apocalyptic number.

It is an amenable number.

33413920 is an abundant number, since it is smaller than the sum of its proper divisors (45526844).

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

33413920 is a wasteful number, since it uses less digits than its factorization.

33413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208852 (or 208844 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 33413920 is about 5780.4774889277. The cubic root of 33413920 is about 322.0889380498.

The spelling of 33413920 in words is "thirty-three million, four hundred thirteen thousand, nine hundred twenty".