33085248 has 112 divisors (see below), whose sum is σ = 101437440. Its totient is φ = 9321984.

The previous prime is 33085231. The next prime is 33085271. The reversal of 33085248 is 84258033.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 138313 + ... + 138551.

Almost surely, 2^33085248 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 33085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50718720).

33085248 is an abundant number, since it is smaller than the sum of its proper divisors (68352192).

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

33085248 is a wasteful number, since it uses less digits than its factorization.

33085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 33085248 is about 5751.9777468276. The cubic root of 33085248 is about 321.0293933741.

It can be divided in two parts, 33085 and 248, that added together give a palindrome (33333).

The spelling of 33085248 in words is "thirty-three million, eighty-five thousand, two hundred forty-eight".