102585 has 16 divisors (see below), whose sum is σ = 187776. Its totient is φ = 46848.

The previous prime is 102563. The next prime is 102587. The reversal of 102585 is 585201.

It is not a de Polignac number, because 102585 - 2⁸ = 102329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon 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 102585.

It is not an unprimeable number, because it can be changed into a prime (102587) 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, 384 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (11736).

2¹⁰²⁵⁸⁵ is an apocalyptic number.

102585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102585 is a deficient number, since it is larger than the sum of its proper divisors (85191).

102585 is an equidigital number, since it uses as much as digits as its factorization.

102585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 102585 is about 320.2889320598. The cubic root of 102585 is about 46.8124409908.

Adding to 102585 its reverse (585201), we get a palindrome (687786).

The spelling of 102585 in words is "one hundred two thousand, five hundred eighty-five".