829532004 has 24 divisors (see below), whose sum is σ = 2212085568. Its totient is φ = 237009120.

The previous prime is 829531993. The next prime is 829532023. The reversal of 829532004 is 400235928.

It is a happy number.

829532004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4937607 + ... + 4937774.

It is an arithmetic number, because the mean of its divisors is an integer number (92170232).

Almost surely, 2^829532004 is an apocalyptic number.

829532004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

829532004 is an abundant number, since it is smaller than the sum of its proper divisors (1382553564).

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

829532004 is a wasteful number, since it uses less digits than its factorization.

829532004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875395 (or 9875393 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 829532004 is about 28801.5972473750. The cubic root of 829532004 is about 939.6029725153.

The spelling of 829532004 in words is "eight hundred twenty-nine million, five hundred thirty-two thousand, four".