384013 has 12 divisors (see below), whose sum is σ = 474012. Its totient is φ = 309120.

The previous prime is 384001. The next prime is 384017. The reversal of 384013 is 310483.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 170569 = 462^2 + 413^2 .

It is a de Polignac number, because none of the positive numbers 2^k-384013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

2³⁸⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

384013 is a deficient number, since it is larger than the sum of its proper divisors (89999).

384013 is a wasteful number, since it uses less digits than its factorization.

384013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 384013 is about 619.6878246343. The cubic root of 384013 is about 72.6856439321.

Adding to 384013 its reverse (310483), we get a palindrome (694496).

The spelling of 384013 in words is "three hundred eighty-four thousand, thirteen".