814124401 has 2 divisors, whose sum is σ = 814124402. Its totient is φ = 814124400.

The previous prime is 814124383. The next prime is 814124471. The reversal of 814124401 is 104421418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 806616801 + 7507600 = 28401^2 + 2740^2 .

It is a cyclic number.

It is not a de Polignac number, because 814124401 - 2⁹ = 814123889 is a prime.

It is equal to p_41835022 and since 814124401 and 41835022 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (814124471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407062200 + 407062201.

It is an arithmetic number, because the mean of its divisors is an integer number (407062201).

Almost surely, 2^814124401 is an apocalyptic number.

It is an amenable number.

814124401 is a deficient number, since it is larger than the sum of its proper divisors (1).

814124401 is an equidigital number, since it uses as much as digits as its factorization.

814124401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 814124401 is about 28532.8652784819. The cubic root of 814124401 is about 933.7492311289.

Adding to 814124401 its reverse (104421418), we get a palindrome (918545819).

The spelling of 814124401 in words is "eight hundred fourteen million, one hundred twenty-four thousand, four hundred one".