808361 has 2 divisors, whose sum is σ = 808362. Its totient is φ = 808360.

The previous prime is 808351. The next prime is 808363. The reversal of 808361 is 163808.

808361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 732736 + 75625 = 856^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 808361 - 2¹⁰ = 807337 is a prime.

It is a Sophie Germain prime.

Together with 808363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 808361.

It is not a weakly prime, because it can be changed into another prime (808363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404180 + 404181.

It is an arithmetic number, because the mean of its divisors is an integer number (404181).

2⁸⁰⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

808361 is a deficient number, since it is larger than the sum of its proper divisors (1).

808361 is an equidigital number, since it uses as much as digits as its factorization.

808361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 808361 is about 899.0889833604. The cubic root of 808361 is about 93.1540592165.

The spelling of 808361 in words is "eight hundred eight thousand, three hundred sixty-one".