86677 has 2 divisors, whose sum is σ = 86678. Its totient is φ = 86676.

The previous prime is 86629. The next prime is 86689. The reversal of 86677 is 77668.

86677 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 8836 = 279^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 86677 - 2¹¹ = 84629 is a prime.

86677 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43338 + 43339.

It is an arithmetic number, because the mean of its divisors is an integer number (43339).

2⁸⁶⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

86677 is a deficient number, since it is larger than the sum of its proper divisors (1).

86677 is an equidigital number, since it uses as much as digits as its factorization.

86677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 34.

The square root of 86677 is about 294.4095786485. The cubic root of 86677 is about 44.2555718776.

Subtracting from 86677 its reverse (77668), we obtain a palindrome (9009).

The spelling of 86677 in words is "eighty-six thousand, six hundred seventy-seven".