33085845 has 48 divisors (see below), whose sum is σ = 64471680. Its totient is φ = 15573888.

The previous prime is 33085837. The next prime is 33085847. The reversal of 33085845 is 54858033.

It is not a de Polignac number, because 33085845 - 2³ = 33085837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33085847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12226 + ... + 14684.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^33085845 is an apocalyptic number.

It is an amenable number.

33085845 is a deficient number, since it is larger than the sum of its proper divisors (31385835).

33085845 is a wasteful number, since it uses less digits than its factorization.

33085845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 33085845 is about 5752.0296417873. The cubic root of 33085845 is about 321.0313242789.

It can be divided in two parts, 33085 and 845, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 33085845 in words is "thirty-three million, eighty-five thousand, eight hundred forty-five".