384813 has 36 divisors (see below), whose sum is σ = 685152. Its totient is φ = 205920.

The previous prime is 384779. The next prime is 384817. The reversal of 384813 is 318483.

It is not a de Polignac number, because 384813 - 2⁹ = 384301 is a prime.

It is a Curzon number.

384813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16720 + ... + 16742.

It is an arithmetic number, because the mean of its divisors is an integer number (19032).

2³⁸⁴⁸¹³ is an apocalyptic number.

384813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

384813 is a deficient number, since it is larger than the sum of its proper divisors (300339).

384813 is a wasteful number, since it uses less digits than its factorization.

384813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 384813 is about 620.3329751029. The cubic root of 384813 is about 72.7360833549.

It can be divided in two parts, 38 and 4813, that added together give a triangular number (4851 = T₉₈).

The spelling of 384813 in words is "three hundred eighty-four thousand, eight hundred thirteen".