82808271 has 32 divisors (see below), whose sum is σ = 150993920. Its totient is φ = 43677792.

The previous prime is 82808269. The next prime is 82808279. The reversal of 82808271 is 17280828.

It is not a de Polignac number, because 82808271 - 2¹ = 82808269 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82808279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14395 + ... + 19308.

It is an arithmetic number, because the mean of its divisors is an integer number (4718560).

Almost surely, 2^82808271 is an apocalyptic number.

82808271 is a deficient number, since it is larger than the sum of its proper divisors (68185649).

82808271 is a wasteful number, since it uses less digits than its factorization.

82808271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33732 (or 33726 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82808271 is about 9099.9049995041. The cubic root of 82808271 is about 435.8709304987.

It can be divided in two parts, 8280827 and 1, that added together give a palindrome (8280828).

The spelling of 82808271 in words is "eighty-two million, eight hundred eight thousand, two hundred seventy-one".