85845 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 44544.

The previous prime is 85843. The next prime is 85847. The reversal of 85845 is 54858.

85845 = T₁₂₆ + T₁₂₇ + ... + T₁₃₅.

It is an interprime number because it is at equal distance from previous prime (85843) and next prime (85847).

It is not a de Polignac number, because 85845 - 2¹ = 85843 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85843) 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, 837 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁸⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

85845 is a deficient number, since it is larger than the sum of its proper divisors (55275).

85845 is a wasteful number, since it uses less digits than its factorization.

85845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 6400, while the sum is 30.

The square root of 85845 is about 292.9931739819. The cubic root of 85845 is about 44.1135154301.

It can be divided in two parts, 858 and 45, that added together give a triangular number (903 = T₄₂).

The spelling of 85845 in words is "eighty-five thousand, eight hundred forty-five".