11677385 has 32 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 8266752.

The previous prime is 11677361. The next prime is 11677403. The reversal of 11677385 is 58377611.

11677385 = 46² + 47² + ... + 327².

11677385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11677385 - 2⁸ = 11677129 is a prime.

It is a super-2 number, since 2×11677385² = 272722640876450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147776 + ... + 147854.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^11677385 is an apocalyptic number.

It is an amenable number.

11677385 is a deficient number, since it is larger than the sum of its proper divisors (4081975).

11677385 is a wasteful number, since it uses less digits than its factorization.

11677385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 35280, while the sum is 38.

The square root of 11677385 is about 3417.2188984611. The cubic root of 11677385 is about 226.8725050129.

The spelling of 11677385 in words is "eleven million, six hundred seventy-seven thousand, three hundred eighty-five".