387005 has 16 divisors (see below), whose sum is σ = 511920. Its totient is φ = 279552.

The previous prime is 386993. The next prime is 387007. The reversal of 387005 is 500783.

It can be written as a sum of positive squares in 8 ways, for example, as 121 + 386884 = 11^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 387005 - 2⁴ = 386989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387007) 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, 2387 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (31995).

2³⁸⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

387005 is a deficient number, since it is larger than the sum of its proper divisors (124915).

387005 is a wasteful number, since it uses less digits than its factorization.

387005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 387005 is about 622.0972592770. The cubic root of 387005 is about 72.8739301497.

Adding to 387005 its reverse (500783), we get a palindrome (887788).

The spelling of 387005 in words is "three hundred eighty-seven thousand, five".