86385 has 16 divisors (see below), whose sum is σ = 149184. Its totient is φ = 42432.

The previous prime is 86381. The next prime is 86389. The reversal of 86385 is 58368.

It is an interprime number because it is at equal distance from previous prime (86381) and next prime (86389).

It is not a de Polignac number, because 86385 - 2² = 86381 is a prime.

86385 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381) 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, 27 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁸⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

86385 is a deficient number, since it is larger than the sum of its proper divisors (62799).

86385 is a wasteful number, since it uses less digits than its factorization.

86385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464.

The product of its digits is 5760, while the sum is 30.

The square root of 86385 is about 293.9132525083. The cubic root of 86385 is about 44.2058194804.

The spelling of 86385 in words is "eighty-six thousand, three hundred eighty-five".