285129 has 12 divisors (see below), whose sum is σ = 443716. Its totient is φ = 175392.

The previous prime is 285121. The next prime is 285139. The reversal of 285129 is 921582.

It can be written as a sum of positive squares in 2 ways, for example, as 164025 + 121104 = 405^2 + 348^2 .

It is not a de Polignac number, because 285129 - 2³ = 285121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102 + ... + 1335.

2²⁸⁵¹²⁹ is an apocalyptic number.

It is an amenable number.

285129 is a deficient number, since it is larger than the sum of its proper divisors (158587).

285129 is a wasteful number, since it uses less digits than its factorization.

285129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2453 counting only the distinct ones).

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

The square root of 285129 is about 533.9747185027. The cubic root of 285129 is about 65.8183711480.

Adding to 285129 its sum of digits (27), we get a square (285156 = 534²).

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

The spelling of 285129 in words is "two hundred eighty-five thousand, one hundred twenty-nine".