33085830 has 16 divisors (see below), whose sum is σ = 79406064. Its totient is φ = 8822880.

The previous prime is 33085817. The next prime is 33085837. The reversal of 33085830 is 3858033.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1102861 = 33085830 / (3 + 3 + 0 + 8 + 5 + 8 + 3 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33085837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551401 + ... + 551460.

It is an arithmetic number, because the mean of its divisors is an integer number (4962879).

Almost surely, 2^33085830 is an apocalyptic number.

33085830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33085830 is an abundant number, since it is smaller than the sum of its proper divisors (46320234).

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

33085830 is a wasteful number, since it uses less digits than its factorization.

33085830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102871.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 33085830 is about 5752.0283378996. The cubic root of 33085830 is about 321.0312757640.

It can be divided in two parts, 330858 and 30, that multiplied together give a triangular number (9925740 = T₄₄₅₅).

The spelling of 33085830 in words is "thirty-three million, eighty-five thousand, eight hundred thirty".