10871 has 4 divisors (see below), whose sum is σ = 12432. Its totient is φ = 9312.

The previous prime is 10867. The next prime is 10883. The reversal of 10871 is 17801.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17801 = 7 ⋅2543.

It is a cyclic number.

It is not a de Polignac number, because 10871 - 2² = 10867 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

2¹⁰⁸⁷¹ is an apocalyptic number.

10871 is a deficient number, since it is larger than the sum of its proper divisors (1561).

10871 is an equidigital number, since it uses as much as digits as its factorization.

10871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10871 is about 104.2640877771. The cubic root of 10871 is about 22.1525214243.

The spelling of 10871 in words is "ten thousand, eight hundred seventy-one".