8071 has 4 divisors (see below), whose sum is σ = 9232. Its totient is φ = 6912.

The previous prime is 8069. The next prime is 8081. The reversal of 8071 is 1708.

8071 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a 8-Lehmer number, since φ(8071) divides (8071-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 8071 - 2¹ = 8069 is a prime.

It is a Duffinian number.

8071 is a lucky number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011) 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, 570 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (2308).

2⁸⁰⁷¹ is an apocalyptic number.

8071 is a deficient number, since it is larger than the sum of its proper divisors (1161).

8071 is a wasteful number, since it uses less digits than its factorization.

8071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 8071 is about 89.8387444258. The cubic root of 8071 is about 20.0589924899.

Adding to 8071 its reverse (1708), we get a palindrome (9779).

It can be divided in two parts, 807 and 1, that added together give a palindrome (808).

The spelling of 8071 in words is "eight thousand, seventy-one".