382005 has 24 divisors (see below), whose sum is σ = 714168. Its totient is φ = 187776.

The previous prime is 382003. The next prime is 382021. The reversal of 382005 is 500283.

It can be written as a sum of positive squares in 4 ways, for example, as 81 + 381924 = 9^2 + 618^2 .

It is not a de Polignac number, because 382005 - 2¹ = 382003 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382005.

It is not an unprimeable number, because it can be changed into a prime (382001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (29757).

2³⁸²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

382005 is a deficient number, since it is larger than the sum of its proper divisors (332163).

382005 is a wasteful number, since it uses less digits than its factorization.

382005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 382005 is about 618.0655305063. The cubic root of 382005 is about 72.5587316402.

Adding to 382005 its reverse (500283), we get a palindrome (882288).

The spelling of 382005 in words is "three hundred eighty-two thousand, five".