71982828917 has 16 divisors (see below), whose sum is σ = 76905884160. Its totient is φ = 67177973232.

The previous prime is 71982828913. The next prime is 71982828947.

71982828917 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71982828917 - 2² = 71982828913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71982828917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71982828913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481448 + ... + 612990.

It is an arithmetic number, because the mean of its divisors is an integer number (4806617760).

Almost surely, 2^71982828917 is an apocalyptic number.

It is an amenable number.

71982828917 is a deficient number, since it is larger than the sum of its proper divisors (4923055243).

71982828917 is a wasteful number, since it uses less digits than its factorization.

71982828917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131992.

The product of its digits is 8128512, while the sum is 62.

The spelling of 71982828917 in words is "seventy-one billion, nine hundred eighty-two million, eight hundred twenty-eight thousand, nine hundred seventeen".