8771 has 6 divisors (see below), whose sum is σ = 10260. Its totient is φ = 7476.

The previous prime is 8761. The next prime is 8779. The reversal of 8771 is 1778.

8771 = 2⁴ + 3⁴ + ... + 8⁴.

It is not a de Polignac number, because 8771 - 2⁶ = 8707 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 10 and base 11.

It is not an unprimeable number, because it can be changed into a prime (8779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁸⁷⁷¹ is an apocalyptic number.

8771 is a deficient number, since it is larger than the sum of its proper divisors (1489).

8771 is a wasteful number, since it uses less digits than its factorization.

8771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its digits is 392, while the sum is 23.

The square root of 8771 is about 93.6536171218. The cubic root of 8771 is about 20.6228984697.

It can be divided in two parts, 877 and 1, that added together give a palindrome (878).

The spelling of 8771 in words is "eight thousand, seven hundred seventy-one".