85514 has 24 divisors (see below), whose sum is σ = 158112. Its totient is φ = 34320.

The previous prime is 85513. The next prime is 85517. The reversal of 85514 is 41558.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85514.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85514.

It is not an unprimeable number, because it can be changed into a prime (85513) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3707 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2⁸⁵⁵¹⁴ is an apocalyptic number.

85514 is a deficient number, since it is larger than the sum of its proper divisors (72598).

85514 is a wasteful number, since it uses less digits than its factorization.

85514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 85514 is about 292.4277688593. The cubic root of 85514 is about 44.0567449687.

Subtracting from 85514 its sum of digits (23), we obtain a triangular number (85491 = T₄₁₃).

Subtracting from 85514 its reverse (41558), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 85514 in words is "eighty-five thousand, five hundred fourteen".