82107 has 8 divisors (see below), whose sum is σ = 121680. Its totient is φ = 54720.

The previous prime is 82073. The next prime is 82129. The reversal of 82107 is 70128.

It is not a de Polignac number, because 82107 - 2¹⁰ = 81083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82107.

It is not an unprimeable number, because it can be changed into a prime (82007) 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, 1494 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (15210).

2⁸²¹⁰⁷ is an apocalyptic number.

82107 is a deficient number, since it is larger than the sum of its proper divisors (39573).

82107 is a wasteful number, since it uses less digits than its factorization.

82107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82107 is about 286.5431904618. The cubic root of 82107 is about 43.4637033727.

The spelling of 82107 in words is "eighty-two thousand, one hundred seven".