85704 has 16 divisors (see below), whose sum is σ = 214320. Its totient is φ = 28560.

The previous prime is 85703. The next prime is 85711. The reversal of 85704 is 40758.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3571 = 85704 / (8 + 5 + 7 + 0 + 4).

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85704.

It is not an unprimeable number, because it can be changed into a prime (85703) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1762 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (13395).

2⁸⁵⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

85704 is an abundant number, since it is smaller than the sum of its proper divisors (128616).

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 (107160).

85704 is a wasteful number, since it uses less digits than its factorization.

85704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 85704 is about 292.7524551562. The cubic root of 85704 is about 44.0893501157.

The spelling of 85704 in words is "eighty-five thousand, seven hundred four".