33829060 has 24 divisors (see below), whose sum is σ = 73334016. Its totient is φ = 13094880.

The previous prime is 33829039. The next prime is 33829069. The reversal of 33829060 is 6092833.

It is a happy number.

It is a super-2 number, since 2×33829060² = 2288810600967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (33829069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26662 + ... + 27901.

It is an arithmetic number, because the mean of its divisors is an integer number (3055584).

Almost surely, 2^33829060 is an apocalyptic number.

It is an amenable number.

33829060 is an abundant number, since it is smaller than the sum of its proper divisors (39504956).

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

33829060 is a wasteful number, since it uses less digits than its factorization.

33829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54603 (or 54601 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 33829060 is about 5816.2754405203. The cubic root of 33829060 is about 323.4173468816.

The spelling of 33829060 in words is "thirty-three million, eight hundred twenty-nine thousand, sixty".