16384 has 15 divisors (see below), whose sum is σ = 32767. Its totient is φ = 8192.

The previous prime is 16381. The next prime is 16411. The reversal of 16384 is 48361.

Multipling 16384 by its product of digits (576), we get a square (9437184 = 3072^{2}).

It can be divided in two parts, 16 and 384, that added together give a square (400 = 20^{2}).

16384 = T_{127} + T_{128}.

The square root of 16384 is 128.

It is a perfect power (a square, a 7-th power, a 14-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{14}.

16384 is nontrivially palindromic in base 15.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=8.

It is a super-3 number, since 3×16384^{3} = 13194139533312, which contains 333 as substring.

It is a Duffinian number.

Its product of digits (576) is a multiple of the sum of its prime divisors (2).

It is a plaindrome in base 11.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16381) by changing a digit.

In principle, a polygon with 16384 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

16384 is a Friedman number, since it can be written as ((8+4)/3)^(6+1), using all its digits and the basic arithmetic operations.

2^{16384} is an apocalyptic number.

16384 is the 128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16384

16384 is a deficient number, since it is larger than the sum of its proper divisors (16383).

16384 is an frugal number, since it uses more digits than its factorization.

16384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 2 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The cubic root of 16384 is about 25.3984168315.

The spelling of 16384 in words is "sixteen thousand, three hundred eighty-four".

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