82100871 has 40 divisors (see below), whose sum is σ = 131289840. Its totient is φ = 50948352.

The previous prime is 82100867. The next prime is 82100899. The reversal of 82100871 is 17800128.

It is not a de Polignac number, because 82100871 - 2² = 82100867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82100831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149820 + ... + 150366.

It is an arithmetic number, because the mean of its divisors is an integer number (3282246).

Almost surely, 2^82100871 is an apocalyptic number.

82100871 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82100871 is a deficient number, since it is larger than the sum of its proper divisors (49188969).

82100871 is a wasteful number, since it uses less digits than its factorization.

82100871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 82100871 is about 9060.9530955634. The cubic root of 82100871 is about 434.6262187475.

Adding to 82100871 its reverse (17800128), we get a palindrome (99900999).

The spelling of 82100871 in words is "eighty-two million, one hundred thousand, eight hundred seventy-one".