33055830 has 64 divisors (see below), whose sum is σ = 91998720. Its totient is φ = 8430048.

The previous prime is 33055823. The next prime is 33055843. The reversal of 33055830 is 3855033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33055794 and 33055803.

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 31 ways as a sum of consecutive naturals, for example, 3549 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 2^33055830 is an apocalyptic number.

33055830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33055830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45999360).

33055830 is an abundant number, since it is smaller than the sum of its proper divisors (58942890).

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

33055830 is a wasteful number, since it uses less digits than its factorization.

33055830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 33055830 is about 5749.4199707449. The cubic root of 33055830 is about 320.9342165835.

The spelling of 33055830 in words is "thirty-three million, fifty-five thousand, eight hundred thirty".