85724 has 12 divisors (see below), whose sum is σ = 155400. Its totient is φ = 41328.

The previous prime is 85717. The next prime is 85733. The reversal of 85724 is 42758.

It is a d-powerful number, because it can be written as 8⁵ + 5⁵ + 7⁵ + 2¹⁵ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 85693 and 85702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (12950).

2⁸⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

85724 is a deficient number, since it is larger than the sum of its proper divisors (69676).

85724 is a wasteful number, since it uses less digits than its factorization.

85724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 85724 is about 292.7866117158. The cubic root of 85724 is about 44.0927794322.

The spelling of 85724 in words is "eighty-five thousand, seven hundred twenty-four".