829903242 has 32 divisors (see below), whose sum is σ = 1996761600. Its totient is φ = 224635248.

The previous prime is 829903241. The next prime is 829903259. The reversal of 829903242 is 242309928.

It is a happy number.

829903242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×829903242² = 1377478782164221128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829903242.

It is not an unprimeable number, because it can be changed into a prime (829903241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519192 + ... + 520787.

It is an arithmetic number, because the mean of its divisors is an integer number (62398800).

Almost surely, 2^829903242 is an apocalyptic number.

829903242 is an abundant number, since it is smaller than the sum of its proper divisors (1166858358).

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

829903242 is a wasteful number, since it uses less digits than its factorization.

829903242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040010.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 829903242 is about 28808.0412732279. The cubic root of 829903242 is about 939.7431175227.

The spelling of 829903242 in words is "eight hundred twenty-nine million, nine hundred three thousand, two hundred forty-two".