11677111 has 12 divisors (see below), whose sum is σ = 12511800. Its totient is φ = 10884720.

The previous prime is 11677093. The next prime is 11677129. The reversal of 11677111 is 11177611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11677093) and next prime (11677129).

It is not a de Polignac number, because 11677111 - 2⁷ = 11676983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11678111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27660 + ... + 28078.

It is an arithmetic number, because the mean of its divisors is an integer number (1042650).

Almost surely, 2^11677111 is an apocalyptic number.

11677111 is a deficient number, since it is larger than the sum of its proper divisors (834689).

11677111 is an equidigital number, since it uses as much as digits as its factorization.

11677111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its digits is 294, while the sum is 25.

The square root of 11677111 is about 3417.1788071449. The cubic root of 11677111 is about 226.8707305417.

Subtracting from 11677111 its reverse (11177611), we obtain a triangular number (499500 = T₉₉₉).

The spelling of 11677111 in words is "eleven million, six hundred seventy-seven thousand, one hundred eleven".