385597441 has 2 divisors, whose sum is σ = 385597442. Its totient is φ = 385597440.

The previous prime is 385597411. The next prime is 385597453. The reversal of 385597441 is 144795583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320553216 + 65044225 = 17904^2 + 8065^2 .

It is an emirp because it is prime and its reverse (144795583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385597441 - 2¹¹ = 385595393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385597391 and 385597400.

It is not a weakly prime, because it can be changed into another prime (385597411) 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, 192798720 + 192798721.

It is an arithmetic number, because the mean of its divisors is an integer number (192798721).

Almost surely, 2^385597441 is an apocalyptic number.

It is an amenable number.

385597441 is a deficient number, since it is larger than the sum of its proper divisors (1).

385597441 is an equidigital number, since it uses as much as digits as its factorization.

385597441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 604800, while the sum is 46.

The square root of 385597441 is about 19636.6351751006. The cubic root of 385597441 is about 727.8547395892.

The spelling of 385597441 in words is "three hundred eighty-five million, five hundred ninety-seven thousand, four hundred forty-one".