82810040817 has 48 divisors (see below), whose sum is σ = 130440875712. Its totient is φ = 46587985920.

The previous prime is 82810040783. The next prime is 82810040839. The reversal of 82810040817 is 71804001828.

It is a happy number.

It is not a de Polignac number, because 82810040817 - 2⁷ = 82810040689 is a prime.

It is a super-2 number, since 2×82810040817² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82810042817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2736942 + ... + 2767032.

It is an arithmetic number, because the mean of its divisors is an integer number (2717518244).

Almost surely, 2^82810040817 is an apocalyptic number.

It is an amenable number.

82810040817 is a deficient number, since it is larger than the sum of its proper divisors (47630834895).

82810040817 is a wasteful number, since it uses less digits than its factorization.

82810040817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30398 (or 30391 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 82810040817 in words is "eighty-two billion, eight hundred ten million, forty thousand, eight hundred seventeen".