11385 has 24 divisors (see below), whose sum is σ = 22464. Its totient is φ = 5280.

The previous prime is 11383. The next prime is 11393. The reversal of 11385 is 58311.

Added to its reverse (58311) it gives a square (69696 = 264²).

11385 = 6² + 7² + ... + 32².

It is a happy number.

11385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11385 - 2¹ = 11383 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2¹¹³⁸⁵ is an apocalyptic number.

11385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11385 is a deficient number, since it is larger than the sum of its proper divisors (11079).

11385 is a wasteful number, since it uses less digits than its factorization.

11385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 42 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11385 is about 106.7005154627. The cubic root of 11385 is about 22.4962956865.

Adding to 11385 its reverse (58311), we get a palindrome (69696).

The spelling of 11385 in words is "eleven thousand, three hundred eighty-five".