810401 has 2 divisors, whose sum is σ = 810402. Its totient is φ = 810400.

The previous prime is 810391. The next prime is 810409. The reversal of 810401 is 104018.

It is a happy number.

810401 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., 524176 + 286225 = 724^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 810401 - 2¹⁰ = 809377 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (810409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405200 + 405201.

It is an arithmetic number, because the mean of its divisors is an integer number (405201).

2⁸¹⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

810401 is a deficient number, since it is larger than the sum of its proper divisors (1).

810401 is an equidigital number, since it uses as much as digits as its factorization.

810401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 810401 is about 900.2227502124. Note that the first 3 decimals coincide. The cubic root of 810401 is about 93.2323553598.

Adding to 810401 its reverse (104018), we get a palindrome (914419).

The spelling of 810401 in words is "eight hundred ten thousand, four hundred one".