11871 has 6 divisors (see below), whose sum is σ = 17160. Its totient is φ = 7908.

The previous prime is 11867. The next prime is 11887. The reversal of 11871 is 17811.

11871 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 11871 - 2² = 11867 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

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 11871.

It is not an unprimeable number, because it can be changed into a prime (11801) 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, 651 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

2¹¹⁸⁷¹ is an apocalyptic number.

11871 is a deficient number, since it is larger than the sum of its proper divisors (5289).

11871 is a wasteful number, since it uses less digits than its factorization.

11871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1322 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 11871 is about 108.9541187840. The cubic root of 11871 is about 22.8119512597.

The spelling of 11871 in words is "eleven thousand, eight hundred seventy-one".