82679826681 has 45 divisors (see below), whose sum is σ = 126618895029. Its totient is φ = 53765566344.

The previous prime is 82679826641. The next prime is 82679826701. The reversal of 82679826681 is 18662897628.

The square root of 82679826681 is 287541.

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

It is not a de Polignac number, because 82679826681 - 2¹⁹ = 82679302393 is a prime.

It is a super-2 number, since 2×82679826681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82679826601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111277996 + ... + 111278738.

Almost surely, 2^82679826681 is an apocalyptic number.

82679826681 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82679826681 is the 287541-st square number.

82679826681 is the 143771-st centered octagonal number.

It is an amenable number.

82679826681 is a deficient number, since it is larger than the sum of its proper divisors (43939068348).

82679826681 is an frugal number, since it uses more digits than its factorization.

82679826681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 789 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 82679826681 in words is "eighty-two billion, six hundred seventy-nine million, eight hundred twenty-six thousand, six hundred eighty-one".