829083897 has 32 divisors (see below), whose sum is σ = 1303545600. Its totient is φ = 519001344.

The previous prime is 829083889. The next prime is 829083923. The reversal of 829083897 is 798380928.

It is not a de Polignac number, because 829083897 - 2³ = 829083889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829083847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221679 + ... + 225387.

It is an arithmetic number, because the mean of its divisors is an integer number (40735800).

Almost surely, 2^829083897 is an apocalyptic number.

It is an amenable number.

829083897 is a deficient number, since it is larger than the sum of its proper divisors (474461703).

829083897 is a wasteful number, since it uses less digits than its factorization.

829083897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 829083897 is about 28793.8169925420. The cubic root of 829083897 is about 939.4337532027.

The spelling of 829083897 in words is "eight hundred twenty-nine million, eighty-three thousand, eight hundred ninety-seven".