85387 has 4 divisors (see below), whose sum is σ = 86320. Its totient is φ = 84456.

The previous prime is 85381. The next prime is 85411. The reversal of 85387 is 78358.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 85387 - 2⁷ = 85259 is a prime.

It is an Ulam number.

It is a Duffinian number.

85387 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (21580).

2⁸⁵³⁸⁷ is an apocalyptic number.

85387 is a deficient number, since it is larger than the sum of its proper divisors (933).

85387 is a wasteful number, since it uses less digits than its factorization.

85387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its digits is 6720, while the sum is 31.

The square root of 85387 is about 292.2105405354. The cubic root of 85387 is about 44.0349240631.

The spelling of 85387 in words is "eighty-five thousand, three hundred eighty-seven".