284085 has 24 divisors (see below), whose sum is σ = 505440. Its totient is φ = 147552.

The previous prime is 284083. The next prime is 284093. The reversal of 284085 is 580482.

284085 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 284085 - 2¹ = 284083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2²⁸⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

284085 is a deficient number, since it is larger than the sum of its proper divisors (221355).

284085 is a wasteful number, since it uses less digits than its factorization.

284085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 284085 is about 532.9962476416. The cubic root of 284085 is about 65.7379415689.

The spelling of 284085 in words is "two hundred eighty-four thousand, eighty-five".