71871 has 4 divisors (see below), whose sum is σ = 95832. Its totient is φ = 47912.

The previous prime is 71867. The next prime is 71879. The reversal of 71871 is 17817.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17817 = 3 ⋅5939.

It is a cyclic number.

It is not a de Polignac number, because 71871 - 2² = 71867 is a prime.

It is a D-number.

71871 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71879) 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, 11976 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (23958).

2⁷¹⁸⁷¹ is an apocalyptic number.

71871 is a deficient number, since it is larger than the sum of its proper divisors (23961).

71871 is a wasteful number, since it uses less digits than its factorization.

71871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23960.

The product of its digits is 392, while the sum is 24.

The square root of 71871 is about 268.0876722268. The cubic root of 71871 is about 41.5768161623.

The spelling of 71871 in words is "seventy-one thousand, eight hundred seventy-one".