82117 has 4 divisors (see below), whose sum is σ = 93856. Its totient is φ = 70380.

The previous prime is 82073. The next prime is 82129. The reversal of 82117 is 71128.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82094 and 82103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5859 + ... + 5872.

It is an arithmetic number, because the mean of its divisors is an integer number (23464).

2⁸²¹¹⁷ is an apocalyptic number.

It is an amenable number.

82117 is a deficient number, since it is larger than the sum of its proper divisors (11739).

82117 is a wasteful number, since it uses less digits than its factorization.

82117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738.

The product of its digits is 112, while the sum is 19.

The square root of 82117 is about 286.5606393069. The cubic root of 82117 is about 43.4654678158.

It can be divided in two parts, 821 and 17, that added together give a palindrome (838).

The spelling of 82117 in words is "eighty-two thousand, one hundred seventeen".