829838047 has 8 divisors (see below), whose sum is σ = 843527520. Its totient is φ = 816245760.

The previous prime is 829838033. The next prime is 829838069. The reversal of 829838047 is 740838928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829838047 - 2²⁷ = 695620319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829838077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6979 + ... + 41332.

It is an arithmetic number, because the mean of its divisors is an integer number (105440940).

Almost surely, 2^829838047 is an apocalyptic number.

829838047 is a deficient number, since it is larger than the sum of its proper divisors (13689473).

829838047 is a wasteful number, since it uses less digits than its factorization.

829838047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48593.

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 829838047 is about 28806.9097093041. The cubic root of 829838047 is about 939.7185089684.

The spelling of 829838047 in words is "eight hundred twenty-nine million, eight hundred thirty-eight thousand, forty-seven".