4284 has 36 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1152.

The previous prime is 4283. The next prime is 4289. The reversal of 4284 is 4824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283) 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, 244 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

2⁴²⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

4284 is an abundant number, since it is smaller than the sum of its proper divisors (8820).

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

4284 is a wasteful number, since it uses less digits than its factorization.

4284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 29 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4284 is about 65.4522726878. The cubic root of 4284 is about 16.2411391534.

The spelling of 4284 in words is "four thousand, two hundred eighty-four".