8677 has 2 divisors, whose sum is σ = 8678. Its totient is φ = 8676.

The previous prime is 8669. The next prime is 8681. The reversal of 8677 is 7768.

8677 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 2116 = 81^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 8677 - 2³ = 8669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4338 + 4339.

It is an arithmetic number, because the mean of its divisors is an integer number (4339).

2⁸⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

8677 is a deficient number, since it is larger than the sum of its proper divisors (1).

8677 is an equidigital number, since it uses as much as digits as its factorization.

8677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 28.

The square root of 8677 is about 93.1504159948. The cubic root of 8677 is about 20.5489609016.

Subtracting from 8677 its sum of digits (28), we obtain a square (8649 = 93²).

Subtracting from 8677 its reverse (7768), we obtain a palindrome (909).

The spelling of 8677 in words is "eight thousand, six hundred seventy-seven".