829080657 has 16 divisors (see below), whose sum is σ = 1242072000. Its totient is φ = 546508512.

The previous prime is 829080653. The next prime is 829080677. The reversal of 829080657 is 756080928.

It is not a de Polignac number, because 829080657 - 2² = 829080653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829080653) 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 15 ways as a sum of consecutive naturals, for example, 170107 + ... + 174912.

It is an arithmetic number, because the mean of its divisors is an integer number (77629500).

Almost surely, 2^829080657 is an apocalyptic number.

It is an amenable number.

829080657 is a deficient number, since it is larger than the sum of its proper divisors (412991343).

829080657 is a wasteful number, since it uses less digits than its factorization.

829080657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345117 (or 345111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 829080657 is about 28793.7607304082. The cubic root of 829080657 is about 939.4325294547.

The spelling of 829080657 in words is "eight hundred twenty-nine million, eighty thousand, six hundred fifty-seven".