284564 has 12 divisors (see below), whose sum is σ = 569184. Its totient is φ = 121944.

The previous prime is 284561. The next prime is 284573. The reversal of 284564 is 465482.

284564 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5054 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (47432).

2²⁸⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

284564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

284564 is a wasteful number, since it uses less digits than its factorization.

284564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10174 (or 10172 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 284564 is about 533.4454048916. The cubic root of 284564 is about 65.7748680672.

It can be divided in two parts, 284 and 564, that added together give a palindrome (848).

The spelling of 284564 in words is "two hundred eighty-four thousand, five hundred sixty-four".