814048957 has 2 divisors, whose sum is σ = 814048958. Its totient is φ = 814048956.

The previous prime is 814048849. The next prime is 814048993. The reversal of 814048957 is 759840418.

814048957 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., 767345401 + 46703556 = 27701^2 + 6834^2 .

It is a cyclic number.

It is not a de Polignac number, because 814048957 - 2¹⁹ = 813524669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814948957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407024478 + 407024479.

It is an arithmetic number, because the mean of its divisors is an integer number (407024479).

Almost surely, 2^814048957 is an apocalyptic number.

It is an amenable number.

814048957 is a deficient number, since it is larger than the sum of its proper divisors (1).

814048957 is an equidigital number, since it uses as much as digits as its factorization.

814048957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 814048957 is about 28531.5431934552. The cubic root of 814048957 is about 933.7203870713.

The spelling of 814048957 in words is "eight hundred fourteen million, forty-eight thousand, nine hundred fifty-seven".