16284 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 5104.

The previous prime is 16273. The next prime is 16301. The reversal of 16284 is 48261.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁶²⁸⁴ 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 16284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

16284 is an abundant number, since it is smaller than the sum of its proper divisors (24036).

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

16284 is a wasteful number, since it uses less digits than its factorization.

16284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 16284 is about 127.6087771276. The cubic root of 16284 is about 25.3466381328.

It can be divided in two parts, 16 and 284, that added together give a triangular number (300 = T₂₄).

The spelling of 16284 in words is "sixteen thousand, two hundred eighty-four".