284116 has 24 divisors (see below), whose sum is σ = 580160. Its totient is φ = 119232.

The previous prime is 284111. The next prime is 284117. The reversal of 284116 is 611482.

284116 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975 + ... + 2113.

2²⁸⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

284116 is an abundant number, since it is smaller than the sum of its proper divisors (296044).

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

284116 is a wasteful number, since it uses less digits than its factorization.

284116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 284116 is about 533.0253277284. The cubic root of 284116 is about 65.7403326397.

Adding to 284116 its reverse (611482), we get a palindrome (895598).

It can be divided in two parts, 284 and 116, that added together give a square (400 = 20²).

The spelling of 284116 in words is "two hundred eighty-four thousand, one hundred sixteen".