387165 has 16 divisors (see below), whose sum is σ = 632448. Its totient is φ = 202176.

The previous prime is 387161. The next prime is 387169. The reversal of 387165 is 561783.

It is an interprime number because it is at equal distance from previous prime (387161) and next prime (387169).

It is not a de Polignac number, because 387165 - 2² = 387161 is a prime.

387165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (39528).

2³⁸⁷¹⁶⁵ is an apocalyptic number.

It is an amenable number.

387165 is a deficient number, since it is larger than the sum of its proper divisors (245283).

387165 is a wasteful number, since it uses less digits than its factorization.

387165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

The product of its digits is 5040, while the sum is 30.

The square root of 387165 is about 622.2258432434. The cubic root of 387165 is about 72.8839715552.

The spelling of 387165 in words is "three hundred eighty-seven thousand, one hundred sixty-five".