85635 has 24 divisors (see below), whose sum is σ = 162864. Its totient is φ = 41280.

The previous prime is 85627. The next prime is 85639. The reversal of 85635 is 53658.

85635 = T₂₆ + T₂₇ + ... + T₈₀.

It is not a de Polignac number, because 85635 - 2³ = 85627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85599 and 85608.

It is not an unprimeable number, because it can be changed into a prime (85639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (6786).

2⁸⁵⁶³⁵ is an apocalyptic number.

85635 is a deficient number, since it is larger than the sum of its proper divisors (77229).

85635 is a wasteful number, since it uses less digits than its factorization.

85635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 85635 is about 292.6345844223. The cubic root of 85635 is about 44.0775148769.

The spelling of 85635 in words is "eighty-five thousand, six hundred thirty-five".