814506029 has 2 divisors, whose sum is σ = 814506030. Its totient is φ = 814506028.

The previous prime is 814505999. The next prime is 814506047. The reversal of 814506029 is 920605418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 742290025 + 72216004 = 27245^2 + 8498^2 .

It is a cyclic number.

It is not a de Polignac number, because 814506029 - 2⁸ = 814505773 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 814506029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814506829) 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, 407253014 + 407253015.

It is an arithmetic number, because the mean of its divisors is an integer number (407253015).

Almost surely, 2^814506029 is an apocalyptic number.

It is an amenable number.

814506029 is a deficient number, since it is larger than the sum of its proper divisors (1).

814506029 is an equidigital number, since it uses as much as digits as its factorization.

814506029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 814506029 is about 28539.5520112002. The cubic root of 814506029 is about 933.8951094024.

The spelling of 814506029 in words is "eight hundred fourteen million, five hundred six thousand, twenty-nine".