814097357 has 2 divisors, whose sum is σ = 814097358. Its totient is φ = 814097356.

The previous prime is 814097321. The next prime is 814097363. The reversal of 814097357 is 753790418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 563635081 + 250462276 = 23741^2 + 15826^2 .

It is a cyclic number.

It is not a de Polignac number, because 814097357 - 2¹⁸ = 813835213 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814097057) 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, 407048678 + 407048679.

It is an arithmetic number, because the mean of its divisors is an integer number (407048679).

Almost surely, 2^814097357 is an apocalyptic number.

It is an amenable number.

814097357 is a deficient number, since it is larger than the sum of its proper divisors (1).

814097357 is an equidigital number, since it uses as much as digits as its factorization.

814097357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 814097357 is about 28532.3913649032. The cubic root of 814097357 is about 933.7388917615.

The spelling of 814097357 in words is "eight hundred fourteen million, ninety-seven thousand, three hundred fifty-seven".