82738567680821 has 8 divisors (see below), whose sum is σ = 89134480425144. Its totient is φ = 76347141727680.

The previous prime is 82738567680787. The next prime is 82738567680877. The reversal of 82738567680821 is 12808676583728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26272843921 + 82712294836900 = 162089^2 + 9094630^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82738567680821 - 2³⁸ = 82463689773877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82738567680721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121659490 + ... + 1121733251.

It is an arithmetic number, because the mean of its divisors is an integer number (11141810053143).

Almost surely, 2^{82738567680821} is an apocalyptic number.

It is an amenable number.

82738567680821 is a deficient number, since it is larger than the sum of its proper divisors (6395912744323).

82738567680821 is a wasteful number, since it uses less digits than its factorization.

82738567680821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243395591.

The product of its (nonzero) digits is 433520640, while the sum is 71.

The spelling of 82738567680821 in words is "eighty-two trillion, seven hundred thirty-eight billion, five hundred sixty-seven million, six hundred eighty thousand, eight hundred twenty-one".