387105 has 16 divisors (see below), whose sum is σ = 627264. Its totient is φ = 203840.

The previous prime is 387089. The next prime is 387109. The reversal of 387105 is 501783.

It is not a de Polignac number, because 387105 - 2⁴ = 387089 is a prime.

387105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (387109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (39204).

2³⁸⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

387105 is a deficient number, since it is larger than the sum of its proper divisors (240159).

387105 is a wasteful number, since it uses less digits than its factorization.

387105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 387105 is about 622.1776273702. The cubic root of 387105 is about 72.8802063524.

Adding to 387105 its reverse (501783), we get a palindrome (888888).

The spelling of 387105 in words is "three hundred eighty-seven thousand, one hundred five".