85239 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 43200.

The previous prime is 85237. The next prime is 85243. The reversal of 85239 is 93258.

It is not a de Polignac number, because 85239 - 2¹ = 85237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 8³ + 5⁷ + 2⁵ + 3⁸ + 9 .

85239 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁵²³⁹ is an apocalyptic number.

85239 is a deficient number, since it is larger than the sum of its proper divisors (76041).

85239 is a wasteful number, since it uses less digits than its factorization.

85239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 85239 is about 291.9571886424. The cubic root of 85239 is about 44.0094676596.

It can be divided in two parts, 85 and 239, that added together give a square (324 = 18²).

The spelling of 85239 in words is "eighty-five thousand, two hundred thirty-nine".