18271 has 6 divisors (see below), whose sum is σ = 20216. Its totient is φ = 16500.

The previous prime is 18269. The next prime is 18287. The reversal of 18271 is 17281.

18271 = 6³ + 7³ + ... + 16³.

18271 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 18271 - 2¹ = 18269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46 + ... + 196.

2¹⁸²⁷¹ is an apocalyptic number.

18271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18271 is a deficient number, since it is larger than the sum of its proper divisors (1945).

18271 is a wasteful number, since it uses less digits than its factorization.

18271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 18271 is about 135.1702630019. The cubic root of 18271 is about 26.3382817527.

Subtracting from 18271 its reverse (17281), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 182 and 71, that added together give a triangular number (253 = T₂₂).

The spelling of 18271 in words is "eighteen thousand, two hundred seventy-one".