129585 has 16 divisors (see below), whose sum is σ = 212544. Its totient is φ = 67392.

The previous prime is 129581. The next prime is 129587. The reversal of 129585 is 585921.

It is not a de Polignac number, because 129585 - 2² = 129581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129581) 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, 714 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (13284).

129585 is a Friedman number, since it can be written as (9*8*5)^2-15, using all its digits and the basic arithmetic operations.

2¹²⁹⁵⁸⁵ is an apocalyptic number.

129585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129585 is a deficient number, since it is larger than the sum of its proper divisors (82959).

129585 is a wasteful number, since it uses less digits than its factorization.

129585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 3600, while the sum is 30.

The square root of 129585 is about 359.9791660638. The cubic root of 129585 is about 50.6040074523.

The spelling of 129585 in words is "one hundred twenty-nine thousand, five hundred eighty-five".