820833057 has 12 divisors (see below), whose sum is σ = 1293434064. Its totient is φ = 497474520.

The previous prime is 820833047. The next prime is 820833077. The reversal of 820833057 is 750338028.

820833057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820833057 - 2⁸ = 820832801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820833007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4145523 + ... + 4145720.

It is an arithmetic number, because the mean of its divisors is an integer number (107786172).

Almost surely, 2^820833057 is an apocalyptic number.

It is an amenable number.

820833057 is a deficient number, since it is larger than the sum of its proper divisors (472601007).

820833057 is a wasteful number, since it uses less digits than its factorization.

820833057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291260 (or 8291257 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 820833057 is about 28650.1842402453. The cubic root of 820833057 is about 936.3070197352.

The spelling of 820833057 in words is "eight hundred twenty million, eight hundred thirty-three thousand, fifty-seven".