85605 has 16 divisors (see below), whose sum is σ = 147840. Its totient is φ = 42048.

The previous prime is 85601. The next prime is 85607. The reversal of 85605 is 50658.

It is not a de Polignac number, because 85605 - 2² = 85601 is a prime.

85605 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85605.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁸⁵⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

85605 is a deficient number, since it is larger than the sum of its proper divisors (62235).

85605 is a wasteful number, since it uses less digits than its factorization.

85605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85605 is about 292.5833214659. The cubic root of 85605 is about 44.0723671379.

The spelling of 85605 in words is "eighty-five thousand, six hundred five".