385393601 has 2 divisors, whose sum is σ = 385393602. Its totient is φ = 385393600.

The previous prime is 385393583. The next prime is 385393607. The reversal of 385393601 is 106393583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326886400 + 58507201 = 18080^2 + 7649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-385393601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (385393607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192696800 + 192696801.

It is an arithmetic number, because the mean of its divisors is an integer number (192696801).

Almost surely, 2^385393601 is an apocalyptic number.

It is an amenable number.

385393601 is a deficient number, since it is larger than the sum of its proper divisors (1).

385393601 is an equidigital number, since it uses as much as digits as its factorization.

385393601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 385393601 is about 19631.4441903799. Note that the first 3 decimals coincide. The cubic root of 385393601 is about 727.7264606764.

The spelling of 385393601 in words is "three hundred eighty-five million, three hundred ninety-three thousand, six hundred one".