804113 has 2 divisors, whose sum is σ = 804114. Its totient is φ = 804112.

The previous prime is 804107. The next prime is 804119. The reversal of 804113 is 311408.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (804107) and next prime (804119).

It can be written as a sum of positive squares in only one way, i.e., 693889 + 110224 = 833^2 + 332^2 .

It is a cyclic number.

It is not a de Polignac number, because 804113 - 2⁸ = 803857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 804091 and 804100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804113.

It is not a weakly prime, because it can be changed into another prime (804119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 402056 + 402057.

It is an arithmetic number, because the mean of its divisors is an integer number (402057).

2⁸⁰⁴¹¹³ is an apocalyptic number.

It is an amenable number.

804113 is a deficient number, since it is larger than the sum of its proper divisors (1).

804113 is an equidigital number, since it uses as much as digits as its factorization.

804113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 804113 is about 896.7234802323. The cubic root of 804113 is about 92.9905952643.

The spelling of 804113 in words is "eight hundred four thousand, one hundred thirteen".