8208 has 40 divisors (see below), whose sum is σ = 24800. Its totient is φ = 2592.

The previous prime is 8191. The next prime is 8209. The reversal of 8208 is 8028.

It can be divided in two parts, 820 and 8, that added together give a palindrome (828).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **8** + **0** + **2**^{13} + **8** .

It is not an unprimeable number, because it can be changed into a prime (8209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (620).

It is a narcissistic number, because it is equal to **8**^{4} + **2**^{4} + **0**^{4} + **8**^{4}.

2^{8208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400).

8208 is an abundant number, since it is smaller than the sum of its proper divisors (16592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8208 is a wasteful number, since it uses less digits than its factorization.

8208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8208 is about 90.5980132232. The cubic root of 8208 is about 20.1718524408.

The spelling of 8208 in words is "eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208

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