385333657 has 2 divisors, whose sum is σ = 385333658. Its totient is φ = 385333656.

The previous prime is 385333633. The next prime is 385333667. The reversal of 385333657 is 756333583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300987801 + 84345856 = 17349^2 + 9184^2 .

It is an emirp because it is prime and its reverse (756333583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385333657 - 2¹⁵ = 385300889 is a prime.

It is not a weakly prime, because it can be changed into another prime (385333667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192666828 + 192666829.

It is an arithmetic number, because the mean of its divisors is an integer number (192666829).

Almost surely, 2^385333657 is an apocalyptic number.

It is an amenable number.

385333657 is a deficient number, since it is larger than the sum of its proper divisors (1).

385333657 is an equidigital number, since it uses as much as digits as its factorization.

385333657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 680400, while the sum is 43.

The square root of 385333657 is about 19629.9173966678. The cubic root of 385333657 is about 727.6887286048.

The spelling of 385333657 in words is "three hundred eighty-five million, three hundred thirty-three thousand, six hundred fifty-seven".