85935 has 16 divisors (see below), whose sum is σ = 146016. Its totient is φ = 43008.

The previous prime is 85933. The next prime is 85991. The reversal of 85935 is 53958.

It is not a de Polignac number, because 85935 - 2¹ = 85933 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85935.

It is not an unprimeable number, because it can be changed into a prime (85931) 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, 87 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (9126).

2⁸⁵⁹³⁵ is an apocalyptic number.

85935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85935 is a deficient number, since it is larger than the sum of its proper divisors (60081).

85935 is a wasteful number, since it uses less digits than its factorization.

85935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362.

The product of its digits is 5400, while the sum is 30.

The square root of 85935 is about 293.1467209436. The cubic root of 85935 is about 44.1289262664.

Subtracting from 85935 its sum of digits (30), we obtain a triangular number (85905 = T₄₁₄).

The spelling of 85935 in words is "eighty-five thousand, nine hundred thirty-five".