82105071 has 8 divisors (see below), whose sum is σ = 110973360. Its totient is φ = 53986752.

The previous prime is 82105043. The next prime is 82105091. The reversal of 82105071 is 17050128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82105071 - 2⁶ = 82105007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82105031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187236 + ... + 187673.

It is an arithmetic number, because the mean of its divisors is an integer number (13871670).

Almost surely, 2^82105071 is an apocalyptic number.

82105071 is a deficient number, since it is larger than the sum of its proper divisors (28868289).

82105071 is a wasteful number, since it uses less digits than its factorization.

82105071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374985.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 82105071 is about 9061.1848562978. The cubic root of 82105071 is about 434.6336299519.

Adding to 82105071 its reverse (17050128), we get a palindrome (99155199).

It can be divided in two parts, 821050 and 71, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 82105071 in words is "eighty-two million, one hundred five thousand, seventy-one".