814135397 has 2 divisors, whose sum is σ = 814135398. Its totient is φ = 814135396.

The previous prime is 814135379. The next prime is 814135403. The reversal of 814135397 is 793531418.

Together with previous prime (814135379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 726787681 + 87347716 = 26959^2 + 9346^2 .

It is a cyclic number.

It is not a de Polignac number, because 814135397 - 2¹⁴ = 814119013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814135307) 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, 407067698 + 407067699.

It is an arithmetic number, because the mean of its divisors is an integer number (407067699).

Almost surely, 2^814135397 is an apocalyptic number.

It is an amenable number.

814135397 is a deficient number, since it is larger than the sum of its proper divisors (1).

814135397 is an equidigital number, since it uses as much as digits as its factorization.

814135397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 41.

The square root of 814135397 is about 28533.0579679080. The cubic root of 814135397 is about 933.7534350156.

The spelling of 814135397 in words is "eight hundred fourteen million, one hundred thirty-five thousand, three hundred ninety-seven".