8204 has 12 divisors (see below), whose sum is σ = 16464. Its totient is φ = 3504.

The previous prime is 8191. The next prime is 8209. The reversal of 8204 is 4028.

8204 = T_{27} + T_{28} + ... +
T_{40}.

8204 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a d-powerful number, because it can be written as **8** + **0** + **2**^{13} + **4** .

It is a plaindrome in base 9 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8204.

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

8204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1372).

2^{8204} is an apocalyptic number.

It is an amenable number.

8204 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232).

8204 is a wasteful number, since it uses less digits than its factorization.

8204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 8204 is about 90.5759349938. The cubic root of 8204 is about 20.1685751292.

It can be divided in two parts, 8 and 204, that added together give a palindrome (212).

The spelling of 8204 in words is "eight thousand, two hundred four".

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