16387 has 4 divisors (see below), whose sum is σ = 18736. Its totient is φ = 14040.

The previous prime is 16381. The next prime is 16411. The reversal of 16387 is 78361.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78361 = 23 ⋅3407.

It is a cyclic number.

It is not a de Polignac number, because 16387 - 2¹⁴ = 3 is a prime.

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

It is a Duffinian number.

16387 is a lucky number.

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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (4684).

16387 is a Friedman number, since it can be written as (1-6/8)^(-7)+3, using all its digits and the basic arithmetic operations.

2¹⁶³⁸⁷ is an apocalyptic number.

16387 is a deficient number, since it is larger than the sum of its proper divisors (2349).

16387 is an equidigital number, since it uses as much as digits as its factorization.

16387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its digits is 1008, while the sum is 25.

The square root of 16387 is about 128.0117182136. The cubic root of 16387 is about 25.3999669332.

The spelling of 16387 in words is "sixteen thousand, three hundred eighty-seven".