8204113 has 2 divisors, whose sum is σ = 8204114. Its totient is φ = 8204112.

The previous prime is 8204111. The next prime is 8204167. The reversal of 8204113 is 3114028.

8204113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7441984 + 762129 = 2728^2 + 873^2 .

It is a cyclic number.

It is not a de Polignac number, because 8204113 - 2¹ = 8204111 is a prime.

Together with 8204111, it forms a pair of twin primes.

8204113 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8204111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4102056 + 4102057.

It is an arithmetic number, because the mean of its divisors is an integer number (4102057).

Almost surely, 2^8204113 is an apocalyptic number.

It is an amenable number.

8204113 is a deficient number, since it is larger than the sum of its proper divisors (1).

8204113 is an equidigital number, since it uses as much as digits as its factorization.

8204113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8204113 is about 2864.2822835747. The cubic root of 8204113 is about 201.6866772788.

The spelling of 8204113 in words is "eight million, two hundred four thousand, one hundred thirteen".