82182677217 has 16 divisors (see below), whose sum is σ = 114348257280. Its totient is φ = 52403071952.

The previous prime is 82182677201. The next prime is 82182677231. The reversal of 82182677217 is 71277628128.

It is a cyclic number.

It is not a de Polignac number, because 82182677217 - 2⁴ = 82182677201 is a prime.

It is a super-2 number, since 2×82182677217² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82182677217.

It is not an unprimeable number, because it can be changed into a prime (82182677237) 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, 1584034 + ... + 1635092.

It is an arithmetic number, because the mean of its divisors is an integer number (7146766080).

Almost surely, 2^82182677217 is an apocalyptic number.

It is an amenable number.

82182677217 is a deficient number, since it is larger than the sum of its proper divisors (32165580063).

82182677217 is a wasteful number, since it uses less digits than its factorization.

82182677217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74412.

The product of its digits is 1053696, while the sum is 51.

The spelling of 82182677217 in words is "eighty-two billion, one hundred eighty-two million, six hundred seventy-seven thousand, two hundred seventeen".