82817 has 4 divisors (see below), whose sum is σ = 94656. Its totient is φ = 70980.

The previous prime is 82813. The next prime is 82837. The reversal of 82817 is 71828.

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 not a de Polignac number, because 82817 - 2² = 82813 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82811) 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, 5909 + ... + 5922.

It is an arithmetic number, because the mean of its divisors is an integer number (23664).

2⁸²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

82817 is a deficient number, since it is larger than the sum of its proper divisors (11839).

82817 is a wasteful number, since it uses less digits than its factorization.

82817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838.

The product of its digits is 896, while the sum is 26.

The square root of 82817 is about 287.7794294247. The cubic root of 82817 is about 43.5886245328.

The spelling of 82817 in words is "eighty-two thousand, eight hundred seventeen".