809401 has 2 divisors, whose sum is σ = 809402. Its totient is φ = 809400.

The previous prime is 809399. The next prime is 809407. The reversal of 809401 is 104908.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 42025 = 876^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 809401 - 2¹ = 809399 is a prime.

Together with 809399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (809407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404700 + 404701.

It is an arithmetic number, because the mean of its divisors is an integer number (404701).

2⁸⁰⁹⁴⁰¹ is an apocalyptic number.

It is an amenable number.

809401 is a deficient number, since it is larger than the sum of its proper divisors (1).

809401 is an equidigital number, since it uses as much as digits as its factorization.

809401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 809401 is about 899.6671606767. The cubic root of 809401 is about 93.1939913359.

The spelling of 809401 in words is "eight hundred nine thousand, four hundred one".