380805 has 16 divisors (see below), whose sum is σ = 622080. Its totient is φ = 198848.

The previous prime is 380803. The next prime is 380819. The reversal of 380805 is 508083.

It is a cyclic number.

It is not a de Polignac number, because 380805 - 2¹ = 380803 is a prime.

It is a Curzon number.

380805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380803) 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, 556 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2³⁸⁰⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

380805 is a deficient number, since it is larger than the sum of its proper divisors (241275).

380805 is a wasteful number, since it uses less digits than its factorization.

380805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 380805 is about 617.0939960816. The cubic root of 380805 is about 72.4826752103.

Adding to 380805 its reverse (508083), we get a palindrome (888888).

It can be divided in two parts, 3 and 80805, that added together give a palindrome (80808).

The spelling of 380805 in words is "three hundred eighty thousand, eight hundred five".