16383 has 8 divisors (see below), whose sum is σ = 22528. Its totient is φ = 10584.

The previous prime is 16381. The next prime is 16411. The reversal of 16383 is 38361.

16383 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 2¹⁴-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16383 - 2¹ = 16381 is a prime.

It is a D-number.

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

It is a Duffinian number.

16383 is a nontrivial repdigit in base 2 and base 4.

It is a plaindrome in base 2, base 4, base 8, base 11 and base 16.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16383.

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

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (2816).

2¹⁶³⁸³ is an apocalyptic number.

16383 is a deficient number, since it is larger than the sum of its proper divisors (6145).

16383 is a wasteful number, since it uses less digits than its factorization.

16383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its digits is 432, while the sum is 21.

The square root of 16383 is about 127.9960936904. The cubic root of 16383 is about 25.3979000889.

Subtracting from 16383 its product of digits (432), we obtain a palindrome (15951).

The spelling of 16383 in words is "sixteen thousand, three hundred eighty-three".