82585 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 64944.

The previous prime is 82571. The next prime is 82591. The reversal of 82585 is 58528.

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

It is a cyclic number.

It is not a de Polignac number, because 82585 - 2⁷ = 82457 is a prime.

82585 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁸²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

82585 is a deficient number, since it is larger than the sum of its proper divisors (18215).

82585 is a wasteful number, since it uses less digits than its factorization.

82585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its digits is 3200, while the sum is 28.

The square root of 82585 is about 287.3760602416. The cubic root of 82585 is about 43.5478840304.

It can be divided in two parts, 825 and 85, that multiplied together give a triangular number (70125 = T₃₇₄).

The spelling of 82585 in words is "eighty-two thousand, five hundred eighty-five".