829384225 has 24 divisors (see below), whose sum is σ = 1043915328. Its totient is φ = 653592000.

The previous prime is 829384211. The next prime is 829384229. The reversal of 829384225 is 522483928.

829384225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829384225 - 2⁷ = 829384097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829384229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572452 + ... + 573898.

It is an arithmetic number, because the mean of its divisors is an integer number (43496472).

Almost surely, 2^829384225 is an apocalyptic number.

It is an amenable number.

829384225 is a deficient number, since it is larger than the sum of its proper divisors (214531103).

829384225 is a wasteful number, since it uses less digits than its factorization.

829384225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 829384225 is about 28799.0316677488. The cubic root of 829384225 is about 939.5471732481.

The spelling of 829384225 in words is "eight hundred twenty-nine million, three hundred eighty-four thousand, two hundred twenty-five".