2871 has 12 divisors (see below), whose sum is σ = 4680. Its totient is φ = 1680.

The previous prime is 2861. The next prime is 2879. The reversal of 2871 is 1782.

It is not a de Polignac number, because 2871 - 2¹⁰ = 1847 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879) 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, 85 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (390).

2871 is the 29-th nonagonal number.

2871 is a deficient number, since it is larger than the sum of its proper divisors (1809).

2871 is a wasteful number, since it uses less digits than its factorization.

2871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 43 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 2871 is about 53.5817132985. The cubic root of 2871 is about 14.2127373644.

Subtracting from 2871 its reverse (1782), we obtain a square (1089 = 33²).

It can be divided in two parts, 28 and 71, that added together give a palindrome (99).

The spelling of 2871 in words is "two thousand, eight hundred seventy-one".