8217 has 12 divisors (see below), whose sum is σ = 13104. Its totient is φ = 4920.

The previous prime is 8209. The next prime is 8219. The reversal of 8217 is 7128.

It is not a de Polignac number, because 8217 - 2³ = 8209 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8217.

It is not an unprimeable number, because it can be changed into a prime (8219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2⁸²¹⁷ is an apocalyptic number.

It is an amenable number.

8217 is a deficient number, since it is larger than the sum of its proper divisors (4887).

8217 is a wasteful number, since it uses less digits than its factorization.

8217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

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

The square root of 8217 is about 90.6476695784. The cubic root of 8217 is about 20.1792225008.

Subtracting from 8217 its reverse (7128), we obtain a square (1089 = 33²).

It can be divided in two parts, 821 and 7, that added together give a palindrome (828).

The spelling of 8217 in words is "eight thousand, two hundred seventeen".