16191 has 12 divisors (see below), whose sum is σ = 26832. Its totient is φ = 9216.

The previous prime is 16189. The next prime is 16193. The reversal of 16191 is 19161.

16191 is nontrivially palindromic in base 2 and base 4.

16191 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16189) and next prime (16193).

It is not a de Polignac number, because 16191 - 2¹ = 16189 is a prime.

It is a super-3 number, since 3×16191³ = 12733338167613, which contains 333 as substring.

16191 is a strobogrammatic number because it is the same when read upside-down.

16191 is an undulating number in base 16.

16191 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (2236).

2¹⁶¹⁹¹ is an apocalyptic number.

16191 is a deficient number, since it is larger than the sum of its proper divisors (10641).

16191 is a wasteful number, since it uses less digits than its factorization.

16191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 16191 is about 127.2438603627. The cubic root of 16191 is about 25.2982933540.

It can be divided in two parts, 161 and 91, that added together give a palindrome (252).

The spelling of 16191 in words is "sixteen thousand, one hundred ninety-one".