387105385 has 12 divisors (see below), whose sum is σ = 493460748. Its totient is φ = 291466496.

The previous prime is 387105379. The next prime is 387105391. The reversal of 387105385 is 583501783.

It is an interprime number because it is at equal distance from previous prime (387105379) and next prime (387105391).

It can be written as a sum of positive squares in 6 ways, for example, as 53056656 + 334048729 = 7284^2 + 18277^2 .

It is not a de Polignac number, because 387105385 - 2¹¹ = 387103337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 132502 + ... + 135391.

It is an arithmetic number, because the mean of its divisors is an integer number (41121729).

Almost surely, 2^387105385 is an apocalyptic number.

It is an amenable number.

387105385 is a deficient number, since it is larger than the sum of its proper divisors (106355363).

387105385 is a wasteful number, since it uses less digits than its factorization.

387105385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267932 (or 267915 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 387105385 is about 19674.9939008885. The cubic root of 387105385 is about 728.8023051368.

The spelling of 387105385 in words is "three hundred eighty-seven million, one hundred five thousand, three hundred eighty-five".