85305 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 40480.

The previous prime is 85303. The next prime is 85313. The reversal of 85305 is 50358.

85305 = T₁₁₉ + T₁₂₀ + ... + T₁₂₉.

It is not a de Polignac number, because 85305 - 2¹ = 85303 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

85305 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85305.

It is not an unprimeable number, because it can be changed into a prime (85303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁸⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

85305 is a deficient number, since it is larger than the sum of its proper divisors (67911).

85305 is a wasteful number, since it uses less digits than its factorization.

85305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 85305 is about 292.0701970417. The cubic root of 85305 is about 44.0208234768.

Adding to 85305 its product of nonzero digits (600), we get a triangular number (85905 = T₄₁₄).

The spelling of 85305 in words is "eighty-five thousand, three hundred five".