829233372 has 24 divisors (see below), whose sum is σ = 2110776192. Its totient is φ = 251282800.

The previous prime is 829233367. The next prime is 829233409. The reversal of 829233372 is 273332928.

829233372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 829233372.

It is a congruent number.

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, 3140904 + ... + 3141167.

It is an arithmetic number, because the mean of its divisors is an integer number (87949008).

Almost surely, 2^829233372 is an apocalyptic number.

It is an amenable number.

829233372 is an abundant number, since it is smaller than the sum of its proper divisors (1281542820).

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

829233372 is a wasteful number, since it uses less digits than its factorization.

829233372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282089 (or 6282087 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 829233372 is about 28796.4124848912. The cubic root of 829233372 is about 939.4902064449.

The spelling of 829233372 in words is "eight hundred twenty-nine million, two hundred thirty-three thousand, three hundred seventy-two".