385185121 has 2 divisors, whose sum is σ = 385185122. Its totient is φ = 385185120.

The previous prime is 385185091. The next prime is 385185139. The reversal of 385185121 is 121581583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227406400 + 157778721 = 15080^2 + 12561^2 .

It is an emirp because it is prime and its reverse (121581583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385185121 - 2⁷ = 385184993 is a prime.

It is not a weakly prime, because it can be changed into another prime (385185161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192592560 + 192592561.

It is an arithmetic number, because the mean of its divisors is an integer number (192592561).

Almost surely, 2^385185121 is an apocalyptic number.

It is an amenable number.

385185121 is a deficient number, since it is larger than the sum of its proper divisors (1).

385185121 is an equidigital number, since it uses as much as digits as its factorization.

385185121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9600, while the sum is 34.

The square root of 385185121 is about 19626.1336233095. The cubic root of 385185121 is about 727.5952149599.

The spelling of 385185121 in words is "three hundred eighty-five million, one hundred eighty-five thousand, one hundred twenty-one".