385386577 has 2 divisors, whose sum is σ = 385386578. Its totient is φ = 385386576.

The previous prime is 385386523. The next prime is 385386587. The reversal of 385386577 is 775683583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221444161 + 163942416 = 14881^2 + 12804^2 .

It is an emirp because it is prime and its reverse (775683583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385386577 - 2¹⁵ = 385353809 is a prime.

It is not a weakly prime, because it can be changed into another prime (385386517) 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, 192693288 + 192693289.

It is an arithmetic number, because the mean of its divisors is an integer number (192693289).

Almost surely, 2^385386577 is an apocalyptic number.

It is an amenable number.

385386577 is a deficient number, since it is larger than the sum of its proper divisors (1).

385386577 is an equidigital number, since it uses as much as digits as its factorization.

385386577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4233600, while the sum is 52.

The square root of 385386577 is about 19631.2652928944. The cubic root of 385386577 is about 727.7220395844.

The spelling of 385386577 in words is "three hundred eighty-five million, three hundred eighty-six thousand, five hundred seventy-seven".