384307 has 24 divisors (see below), whose sum is σ = 525312. Its totient is φ = 277200.

The previous prime is 384301. The next prime is 384317. The reversal of 384307 is 703483.

It is not a de Polignac number, because 384307 - 2³ = 384299 is a prime.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

384307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (384301) 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, 12382 + ... + 12412.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2³⁸⁴³⁰⁷ is an apocalyptic number.

384307 is a deficient number, since it is larger than the sum of its proper divisors (141005).

384307 is a wasteful number, since it uses less digits than its factorization.

384307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 384307 is about 619.9249954632. The cubic root of 384307 is about 72.7041885544.

The spelling of 384307 in words is "three hundred eighty-four thousand, three hundred seven".