16388 has 12 divisors (see below), whose sum is σ = 30492. Its totient is φ = 7680.

The previous prime is 16381. The next prime is 16411. The reversal of 16388 is 88361.

16388 is nontrivially palindromic in base 8 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 3844 = 112^2 + 62^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 7.

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 (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

2¹⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

16388 is a deficient number, since it is larger than the sum of its proper divisors (14104).

16388 is a wasteful number, since it uses less digits than its factorization.

16388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 16388 is about 128.0156240464. The cubic root of 16388 is about 25.4004835918.

It can be divided in two parts, 16 and 388, that added together give a palindrome (404).

The spelling of 16388 in words is "sixteen thousand, three hundred eighty-eight".