85014 has 12 divisors (see below), whose sum is σ = 184236. Its totient is φ = 28332.

The previous prime is 85009. The next prime is 85021. The reversal of 85014 is 41058.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4723 = 85014 / (8 + 5 + 0 + 1 + 4).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

85014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2344 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (15353).

2⁸⁵⁰¹⁴ is an apocalyptic number.

85014 is an abundant number, since it is smaller than the sum of its proper divisors (99222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85014 is a wasteful number, since it uses less digits than its factorization.

85014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85014 is about 291.5716035556. The cubic root of 85014 is about 43.9707105348.

Subtracting from 85014 its reverse (41058), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 85014 in words is "eighty-five thousand, fourteen".