85805 has 6 divisors (see below), whose sum is σ = 103758. Its totient is φ = 68120.

The previous prime is 85793. The next prime is 85817. The reversal of 85805 is 50858.

It is an interprime number because it is at equal distance from previous prime (85793) and next prime (85817).

It can be written as a sum of positive squares in only one way, i.e., 68644 + 17161 = 262^2 + 131^2 .

It is not a de Polignac number, because 85805 - 2⁸ = 85549 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (17293).

2⁸⁵⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

85805 is a deficient number, since it is larger than the sum of its proper divisors (17953).

85805 is an equidigital number, since it uses as much as digits as its factorization.

85805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 85805 is about 292.9249050525. The cubic root of 85805 is about 44.1066627120.

The spelling of 85805 in words is "eighty-five thousand, eight hundred five".