16389 has 8 divisors (see below), whose sum is σ = 24320. Its totient is φ = 10908.

The previous prime is 16381. The next prime is 16411. The reversal of 16389 is 98361.

It is not a de Polignac number, because 16389 - 2³ = 16381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 607 = 16389 / (1 + 6 + 3 + 8 + 9).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

16389 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 3 and base 7.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (3040).

2¹⁶³⁸⁹ is an apocalyptic number.

It is an amenable number.

16389 is a deficient number, since it is larger than the sum of its proper divisors (7931).

16389 is an equidigital number, since it uses as much as digits as its factorization.

16389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16389 is about 128.0195297601. The cubic root of 16389 is about 25.4010002293.

It can be divided in two parts, 163 and 89, that added together give a palindrome (252).

The spelling of 16389 in words is "sixteen thousand, three hundred eighty-nine".