82385805977 has 12 divisors (see below), whose sum is σ = 88291624476. Its totient is φ = 76853360640.

The previous prime is 82385805959. The next prime is 82385806001. The reversal of 82385805977 is 77950858328.

It can be written as a sum of positive squares in 6 ways, for example, as 509134096 + 81876671881 = 22564^2 + 286141^2 .

It is not a de Polignac number, because 82385805977 - 2⁸ = 82385805721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82385805907) 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, 1228724 + ... + 1294037.

It is an arithmetic number, because the mean of its divisors is an integer number (7357635373).

Almost surely, 2^82385805977 is an apocalyptic number.

It is an amenable number.

82385805977 is a deficient number, since it is larger than the sum of its proper divisors (5905818499).

82385805977 is a wasteful number, since it uses less digits than its factorization.

82385805977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522908 (or 2522891 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 62.

The spelling of 82385805977 in words is "eighty-two billion, three hundred eighty-five million, eight hundred five thousand, nine hundred seventy-seven".