33413104 has 40 divisors (see below), whose sum is σ = 67696560. Its totient is φ = 15955968.

The previous prime is 33413087. The next prime is 33413111. The reversal of 33413104 is 40131433.

It is a super-2 number, since 2×33413104² = 2232871037829632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49312 + ... + 49984.

It is an arithmetic number, because the mean of its divisors is an integer number (1692414).

Almost surely, 2^33413104 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 33413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848280).

33413104 is an abundant number, since it is smaller than the sum of its proper divisors (34283456).

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

33413104 is a wasteful number, since it uses less digits than its factorization.

33413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 33413104 is about 5780.4069060923. The cubic root of 33413104 is about 322.0863161214.

Adding to 33413104 its reverse (40131433), we get a palindrome (73544537).

The spelling of 33413104 in words is "thirty-three million, four hundred thirteen thousand, one hundred four".