11677617 has 12 divisors (see below), whose sum is σ = 19277440. Its totient is φ = 6672888.

The previous prime is 11677613. The next prime is 11677619. The reversal of 11677617 is 71677611.

It is not a de Polignac number, because 11677617 - 2² = 11677613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11677613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92617 + ... + 92742.

Almost surely, 2^11677617 is an apocalyptic number.

It is an amenable number.

11677617 is a deficient number, since it is larger than the sum of its proper divisors (7599823).

11677617 is a wasteful number, since it uses less digits than its factorization.

11677617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185372 (or 185369 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 11677617 is about 3417.2528440254. The cubic root of 11677617 is about 226.8740074633.

The spelling of 11677617 in words is "eleven million, six hundred seventy-seven thousand, six hundred seventeen".