385509017 has 8 divisors (see below), whose sum is σ = 408357576. Its totient is φ = 362679552.

The previous prime is 385509013. The next prime is 385509043. The reversal of 385509017 is 710905583.

It can be written as a sum of positive squares in 4 ways, for example, as 13366336 + 372142681 = 3656^2 + 19291^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 385509017 - 2² = 385509013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385509013) 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 in 7 ways as a sum of consecutive naturals, for example, 75683 + ... + 80615.

It is an arithmetic number, because the mean of its divisors is an integer number (51044697).

Almost surely, 2^385509017 is an apocalyptic number.

It is an amenable number.

385509017 is a deficient number, since it is larger than the sum of its proper divisors (22848559).

385509017 is a wasteful number, since it uses less digits than its factorization.

385509017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 385509017 is about 19634.3835401064. The cubic root of 385509017 is about 727.7990988779.

It can be divided in two parts, 38 and 5509017, that added together give a palindrome (5509055).

The spelling of 385509017 in words is "three hundred eighty-five million, five hundred nine thousand, seventeen".