85705 has 8 divisors (see below), whose sum is σ = 104904. Its totient is φ = 67200.

The previous prime is 85703. The next prime is 85711. The reversal of 85705 is 50758.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 84681 = 32^2 + 291^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85705 - 2¹ = 85703 is a prime.

It is a Duffinian number.

85705 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 85705.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 165 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (13113).

2⁸⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

85705 is a deficient number, since it is larger than the sum of its proper divisors (19199).

85705 is a wasteful number, since it uses less digits than its factorization.

85705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85705 is about 292.7541630789. The cubic root of 85705 is about 44.0895215942.

The spelling of 85705 in words is "eighty-five thousand, seven hundred five".