9677 has 2 divisors, whose sum is σ = 9678. Its totient is φ = 9676.

The previous prime is 9661. The next prime is 9679. The reversal of 9677 is 7769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 841 = 94^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 9677 - 2⁴ = 9661 is a prime.

Together with 9679, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4838 + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (4839).

2⁹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

9677 is a deficient number, since it is larger than the sum of its proper divisors (1).

9677 is an equidigital number, since it uses as much as digits as its factorization.

9677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 29.

The square root of 9677 is about 98.3717439105. The cubic root of 9677 is about 21.3098428503.

It can be divided in two parts, 9 and 677, that added together give a palindrome (686).

The spelling of 9677 in words is "nine thousand, six hundred seventy-seven".