809736057 has 24 divisors (see below), whose sum is σ = 1303029000. Its totient is φ = 481114368.

The previous prime is 809736047. The next prime is 809736077. The reversal of 809736057 is 750637908.

It is a happy number.

809736057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 804913641 = 2196^2 + 28371^2 .

It is not a de Polignac number, because 809736057 - 2¹⁵ = 809703289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (809736007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115932 + ... + 122717.

It is an arithmetic number, because the mean of its divisors is an integer number (54292875).

Almost surely, 2^809736057 is an apocalyptic number.

809736057 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

809736057 is a deficient number, since it is larger than the sum of its proper divisors (493292943).

809736057 is a wasteful number, since it uses less digits than its factorization.

809736057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238697 (or 238694 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 809736057 is about 28455.8615578583. The cubic root of 809736057 is about 932.0684898890.

The spelling of 809736057 in words is "eight hundred nine million, seven hundred thirty-six thousand, fifty-seven".