285000 has 80 divisors (see below), whose sum is σ = 937200. Its totient is φ = 72000.

The previous prime is 284989. The next prime is 285007. The reversal of 285000 is 582.

285000 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (285007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14991 + ... + 15009.

It is an arithmetic number, because the mean of its divisors is an integer number (11715).

2²⁸⁵⁰⁰⁰ is an apocalyptic number.

285000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468600).

285000 is an abundant number, since it is smaller than the sum of its proper divisors (652200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285000 is a wasteful number, since it uses less digits than its factorization.

285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 285000 is about 533.8539126016. The cubic root of 285000 is about 65.8084436524.

Adding to 285000 its reverse (582), we get a palindrome (285582).

The spelling of 285000 in words is "two hundred eighty-five thousand".