385047073 has 2 divisors, whose sum is σ = 385047074. Its totient is φ = 385047072.

The previous prime is 385047011. The next prime is 385047139. The reversal of 385047073 is 370740583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335878929 + 49168144 = 18327^2 + 7012^2 .

It is an emirp because it is prime and its reverse (370740583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385047073 - 2¹⁷ = 384916001 is a prime.

It is a super-3 number, since 3×385047073³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (385027073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192523536 + 192523537.

It is an arithmetic number, because the mean of its divisors is an integer number (192523537).

Almost surely, 2^385047073 is an apocalyptic number.

It is an amenable number.

385047073 is a deficient number, since it is larger than the sum of its proper divisors (1).

385047073 is an equidigital number, since it uses as much as digits as its factorization.

385047073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 385047073 is about 19622.6163647970. The cubic root of 385047073 is about 727.5082826767.

The spelling of 385047073 in words is "three hundred eighty-five million, forty-seven thousand, seventy-three".