829850193 has 12 divisors (see below), whose sum is σ = 1201384080. Its totient is φ = 551981976.

The previous prime is 829850149. The next prime is 829850227. The reversal of 829850193 is 391058928.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-829850193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (829850113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100083 + ... + 108056.

It is an arithmetic number, because the mean of its divisors is an integer number (100115340).

Almost surely, 2^829850193 is an apocalyptic number.

It is an amenable number.

829850193 is a deficient number, since it is larger than the sum of its proper divisors (371533887).

829850193 is a wasteful number, since it uses less digits than its factorization.

829850193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208588 (or 208585 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 829850193 is about 28807.1205260088. The cubic root of 829850193 is about 939.7230937045.

The spelling of 829850193 in words is "eight hundred twenty-nine million, eight hundred fifty thousand, one hundred ninety-three".