82617 has 4 divisors (see below), whose sum is σ = 110160. Its totient is φ = 55076.

The previous prime is 82613. The next prime is 82619. The reversal of 82617 is 71628.

82617 is nontrivially palindromic in base 13.

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 not a de Polignac number, because 82617 - 2² = 82613 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (82613) 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, 13767 + ... + 13772.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁸²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

82617 is a deficient number, since it is larger than the sum of its proper divisors (27543).

82617 is a wasteful number, since it uses less digits than its factorization.

82617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27542.

The product of its digits is 672, while the sum is 24.

The square root of 82617 is about 287.4317310250. The cubic root of 82617 is about 43.5535079424.

The spelling of 82617 in words is "eighty-two thousand, six hundred seventeen".