71271 has 6 divisors (see below), whose sum is σ = 102960. Its totient is φ = 47508.

The previous prime is 71263. The next prime is 71287. The reversal of 71271 is 17217.

It is not a de Polignac number, because 71271 - 2³ = 71263 is a prime.

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 (71261) 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, 3951 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2⁷¹²⁷¹ is an apocalyptic number.

71271 is a deficient number, since it is larger than the sum of its proper divisors (31689).

71271 is a wasteful number, since it uses less digits than its factorization.

71271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7922 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 71271 is about 266.9662900068. The cubic root of 71271 is about 41.4607942502.

Adding to 71271 its sum of digits (18), we get a square (71289 = 267²).

Subtracting from 71271 its sum of digits (18), we obtain a triangular number (71253 = T₃₇₇).

Adding to 71271 its reverse (17217), we get a palindrome (88488).

The spelling of 71271 in words is "seventy-one thousand, two hundred seventy-one", and thus it is an iban number.