33413058 has 96 divisors (see below), whose sum is σ = 92327040. Its totient is φ = 8501760.

The previous prime is 33413053. The next prime is 33413059. The reversal of 33413058 is 85031433.

It is a happy number.

It is a super-3 number, since 3×33413058³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33413053) 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 47 ways as a sum of consecutive naturals, for example, 40288 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (961740).

Almost surely, 2^33413058 is an apocalyptic number.

33413058 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33413058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46163520).

33413058 is an abundant number, since it is smaller than the sum of its proper divisors (58913982).

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

33413058 is a wasteful number, since it uses less digits than its factorization.

33413058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 33413058 is about 5780.4029271323. The cubic root of 33413058 is about 322.0861683154.

The spelling of 33413058 in words is "thirty-three million, four hundred thirteen thousand, fifty-eight".