8385 has 16 divisors (see below), whose sum is σ = 14784. Its totient is φ = 4032.

The previous prime is 8377. The next prime is 8387. The reversal of 8385 is 5838.

8385 is nontrivially palindromic in base 2.

8385 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

8385 is a nontrivial binomial coefficient, being equal to C(130, 2).

It is not a de Polignac number, because 8385 - 2³ = 8377 is a prime.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (960) is a multiple of the sum of its prime divisors (64).

8385 is strictly pandigital in base 6.

It is a plaindrome in base 9.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (924).

2⁸³⁸⁵ is an apocalyptic number.

8385 is the 129-th triangular number and also the 65-th hexagonal number.

It is an amenable number.

8385 is a deficient number, since it is larger than the sum of its proper divisors (6399).

8385 is a wasteful number, since it uses less digits than its factorization.

8385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 960, while the sum is 24.

The square root of 8385 is about 91.5696456256. The cubic root of 8385 is about 20.3158199702.

It can be divided in two parts, 8 and 385, that added together give a palindrome (393).

The spelling of 8385 in words is "eight thousand, three hundred eighty-five".