385288101 has 24 divisors (see below), whose sum is σ = 609762816. Its totient is φ = 232491840.

The previous prime is 385288091. The next prime is 385288109. The reversal of 385288101 is 101882583.

It is not a de Polignac number, because 385288101 - 2¹¹ = 385286053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385288109) 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 23 ways as a sum of consecutive naturals, for example, 14716 + ... + 31418.

It is an arithmetic number, because the mean of its divisors is an integer number (25406784).

Almost surely, 2^385288101 is an apocalyptic number.

It is an amenable number.

385288101 is a deficient number, since it is larger than the sum of its proper divisors (224474715).

385288101 is a wasteful number, since it uses less digits than its factorization.

385288101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 385288101 is about 19628.7569907012. The cubic root of 385288101 is about 727.6600505197.

The spelling of 385288101 in words is "three hundred eighty-five million, two hundred eighty-eight thousand, one hundred one".