82348076102217 has 32 divisors (see below), whose sum is σ = 121322824503552. Its totient is φ = 49417955119104.

The previous prime is 82348076102207. The next prime is 82348076102249. The reversal of 82348076102217 is 71220167084328.

It is a happy number.

It is not a de Polignac number, because 82348076102217 - 2²⁰ = 82348075053641 is a prime.

It is a super-3 number, since 3×82348076102217³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 82348076102217.

It is not an unprimeable number, because it can be changed into a prime (82348076102207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8276193 + ... + 15270609.

It is an arithmetic number, because the mean of its divisors is an integer number (3791338265736).

Almost surely, 2^{82348076102217} is an apocalyptic number.

It is an amenable number.

82348076102217 is a deficient number, since it is larger than the sum of its proper divisors (38974748401335).

82348076102217 is a wasteful number, since it uses less digits than its factorization.

82348076102217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004497.

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 82348076102217 in words is "eighty-two trillion, three hundred forty-eight billion, seventy-six million, one hundred two thousand, two hundred seventeen".