33048834 has 48 divisors (see below), whose sum is σ = 82813248. Its totient is φ = 8715168.

The previous prime is 33048817. The next prime is 33048853. The reversal of 33048834 is 43884033.

It is a junction number, because it is equal to n+sod(n) for n = 33048795 and 33048804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502 + ... + 8145.

It is an arithmetic number, because the mean of its divisors is an integer number (1725276).

Almost surely, 2^33048834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33048834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41406624).

33048834 is an abundant number, since it is smaller than the sum of its proper divisors (49764414).

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

33048834 is a wasteful number, since it uses less digits than its factorization.

33048834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 33048834 is about 5748.8115293511. The cubic root of 33048834 is about 320.9115739393.

The spelling of 33048834 in words is "thirty-three million, forty-eight thousand, eight hundred thirty-four".