85677612677 has 2 divisors, whose sum is σ = 85677612678. Its totient is φ = 85677612676.

The previous prime is 85677612641. The next prime is 85677612679. The reversal of 85677612677 is 77621677658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62743236196 + 22934376481 = 250486^2 + 151441^2 .

It is a cyclic number.

It is not a de Polignac number, because 85677612677 - 2²² = 85673418373 is a prime.

It is a super-2 number, since 2×85677612677² (a number of 23 digits) contains 22 as substring.

Together with 85677612679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85677612679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42838806338 + 42838806339.

It is an arithmetic number, because the mean of its divisors is an integer number (42838806339).

Almost surely, 2^85677612677 is an apocalyptic number.

It is an amenable number.

85677612677 is a deficient number, since it is larger than the sum of its proper divisors (1).

85677612677 is an equidigital number, since it uses as much as digits as its factorization.

85677612677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41489280, while the sum is 62.

The spelling of 85677612677 in words is "eighty-five billion, six hundred seventy-seven million, six hundred twelve thousand, six hundred seventy-seven".