85695 has 16 divisors (see below), whose sum is σ = 142560. Its totient is φ = 43904.

The previous prime is 85691. The next prime is 85703. The reversal of 85695 is 59658.

It is a 7-Lehmer number, since φ(85695) divides (85695-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 85695 - 2² = 85691 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85691) 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, 337 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2⁸⁵⁶⁹⁵ is an apocalyptic number.

85695 is a deficient number, since it is larger than the sum of its proper divisors (56865).

85695 is a wasteful number, since it uses less digits than its factorization.

85695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its digits is 10800, while the sum is 33.

The square root of 85695 is about 292.7370834042. The cubic root of 85695 is about 44.0878067493.

It can be divided in two parts, 85 and 695, that added together give a triangular number (780 = T₃₉).

The spelling of 85695 in words is "eighty-five thousand, six hundred ninety-five".