11677 has 2 divisors, whose sum is σ = 11678. Its totient is φ = 11676.

The previous prime is 11657. The next prime is 11681. The reversal of 11677 is 77611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11236 + 441 = 106^2 + 21^2 .

It is an emirp because it is prime and its reverse (77611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11677 - 2⁷ = 11549 is a prime.

11677 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11617) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5838 + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (5839).

2¹¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

11677 is a deficient number, since it is larger than the sum of its proper divisors (1).

11677 is an equidigital number, since it uses as much as digits as its factorization.

11677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294, while the sum is 22.

The square root of 11677 is about 108.0601684248. The cubic root of 11677 is about 22.6870011679.

It can be divided in two parts, 11 and 677, that multiplied together give a palindrome (7447).

The spelling of 11677 in words is "eleven thousand, six hundred seventy-seven".