34284 has 12 divisors (see below), whose sum is σ = 80024. Its totient is φ = 11424.

The previous prime is 34283. The next prime is 34297. The reversal of 34284 is 48243.

It is a happy number.

34284 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 34284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34283) 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, 1417 + ... + 1440.

2³⁴²⁸⁴ is an apocalyptic number.

It is an amenable number.

34284 is an abundant number, since it is smaller than the sum of its proper divisors (45740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40012).

34284 is a wasteful number, since it uses less digits than its factorization.

34284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2862 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34284 is about 185.1593907961. The cubic root of 34284 is about 32.4860689801.

The spelling of 34284 in words is "thirty-four thousand, two hundred eighty-four".