129285 has 36 divisors (see below), whose sum is σ = 256932. Its totient is φ = 59904.

The previous prime is 129281. The next prime is 129287. The reversal of 129285 is 582921.

129285 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12321 + 116964 = 111^2 + 342^2 .

It is not a de Polignac number, because 129285 - 2² = 129281 is a prime.

It is a super-2 number, since 2×129285² = 33429222450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

129285 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7597 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (7137).

129285 is a Friedman number, since it can be written as (2^9-5)*(2^8-1), using all its digits and the basic arithmetic operations.

2¹²⁹²⁸⁵ is an apocalyptic number.

129285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129285 is a deficient number, since it is larger than the sum of its proper divisors (127647).

129285 is a wasteful number, since it uses less digits than its factorization.

129285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 129285 is about 359.5622338344. The cubic root of 129285 is about 50.5649264564.

It can be divided in two parts, 129 and 285, that added together give a palindrome (414).

The spelling of 129285 in words is "one hundred twenty-nine thousand, two hundred eighty-five".