82218107169 has 27 divisors (see below), whose sum is σ = 130552313619. Its totient is φ = 49823421120.

The previous prime is 82218107137. The next prime is 82218107183. The reversal of 82218107169 is 96170181228.

The square root of 82218107169 is 286737.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73922540769 + 8295566400 = 271887^2 + 91080^2 .

It is not a de Polignac number, because 82218107169 - 2⁵ = 82218107137 is a prime.

It is a super-2 number, since 2×82218107169² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82218107119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9457977 + ... + 9466665.

Almost surely, 2^82218107169 is an apocalyptic number.

82218107169 is the 286737-th square number.

82218107169 is the 143369-th centered octagonal number.

It is an amenable number.

82218107169 is a deficient number, since it is larger than the sum of its proper divisors (48334206450).

82218107169 is an frugal number, since it uses more digits than its factorization.

82218107169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17406 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 82218107169 in words is "eighty-two billion, two hundred eighteen million, one hundred seven thousand, one hundred sixty-nine".