829516338 has 24 divisors (see below), whose sum is σ = 2054040768. Its totient is φ = 237004632.

The previous prime is 829516313. The next prime is 829516379. The reversal of 829516338 is 833615928.

It is a happy number.

829516338 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 1 + 633 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 829516293 and 829516302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3291606 + ... + 3291857.

It is an arithmetic number, because the mean of its divisors is an integer number (85585032).

Almost surely, 2^829516338 is an apocalyptic number.

829516338 is an abundant number, since it is smaller than the sum of its proper divisors (1224524430).

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

829516338 is a wasteful number, since it uses less digits than its factorization.

829516338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583478 (or 6583475 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 829516338 is about 28801.3252820074. The cubic root of 829516338 is about 939.5970575686.

The spelling of 829516338 in words is "eight hundred twenty-nine million, five hundred sixteen thousand, three hundred thirty-eight".