85314 has 16 divisors (see below), whose sum is σ = 174240. Its totient is φ = 27840.

The previous prime is 85313. The next prime is 85331. The reversal of 85314 is 41358.

85314 = 5² + 6² + ... + 63².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85313) 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 7 ways as a sum of consecutive naturals, for example, 234 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2⁸⁵³¹⁴ is an apocalyptic number.

85314 is an abundant number, since it is smaller than the sum of its proper divisors (88926).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

85314 is a wasteful number, since it uses less digits than its factorization.

85314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its digits is 480, while the sum is 21.

The square root of 85314 is about 292.0856038904. The cubic root of 85314 is about 44.0223715435.

Subtracting from 85314 its reverse (41358), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 85314 in words is "eighty-five thousand, three hundred fourteen".