85864 has 8 divisors (see below), whose sum is σ = 161010. Its totient is φ = 42928.

The previous prime is 85853. The next prime is 85889. The reversal of 85864 is 46858.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 1764 = 290^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5359 + ... + 5374.

2⁸⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

85864 is a deficient number, since it is larger than the sum of its proper divisors (75146).

85864 is a wasteful number, since it uses less digits than its factorization.

85864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10735 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 85864 is about 293.0255961516. The cubic root of 85864 is about 44.1167697255.

It can be divided in two parts, 85 and 864, that added together give a palindrome (949).

The spelling of 85864 in words is "eighty-five thousand, eight hundred sixty-four".