85734 has 24 divisors (see below), whose sum is σ = 203112. Its totient is φ = 25920.

The previous prime is 85733. The next prime is 85751. The reversal of 85734 is 43758.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85698 and 85707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁸⁵⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

85734 is an abundant number, since it is smaller than the sum of its proper divisors (117378).

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

85734 is a wasteful number, since it uses less digits than its factorization.

85734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 85734 is about 292.8036885014. The cubic root of 85734 is about 44.0944938904.

The spelling of 85734 in words is "eighty-five thousand, seven hundred thirty-four".