85936 has 20 divisors (see below), whose sum is σ = 171864. Its totient is φ = 41600.

The previous prime is 85933. The next prime is 85991. The reversal of 85936 is 63958.

Its product of digits (6480) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 85898 and 85907.

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 3 ways as a sum of consecutive naturals, for example, 591 + ... + 721.

2⁸⁵⁹³⁶ is an apocalyptic number.

It is an amenable number.

85936 is a deficient number, since it is larger than the sum of its proper divisors (85928).

85936 is a wasteful number, since it uses less digits than its factorization.

85936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 85936 is about 293.1484265692. The cubic root of 85936 is about 44.1290974375.

Subtracting from 85936 its sum of digits (31), we obtain a triangular number (85905 = T₄₁₄).

Adding to 85936 its product of digits (6480), we get a square (92416 = 304²).

The spelling of 85936 in words is "eighty-five thousand, nine hundred thirty-six".