384205813 has 2 divisors, whose sum is σ = 384205814. Its totient is φ = 384205812.

The previous prime is 384205799. The next prime is 384205837. The reversal of 384205813 is 318502483.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279491524 + 104714289 = 16718^2 + 10233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-384205813 is a prime.

It is a super-2 number, since 2×384205813² = 295228213485981938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384205883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192102906 + 192102907.

It is an arithmetic number, because the mean of its divisors is an integer number (192102907).

Almost surely, 2^384205813 is an apocalyptic number.

It is an amenable number.

384205813 is a deficient number, since it is larger than the sum of its proper divisors (1).

384205813 is an equidigital number, since it uses as much as digits as its factorization.

384205813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 384205813 is about 19601.1686641384. The cubic root of 384205813 is about 726.9780705513.

The spelling of 384205813 in words is "three hundred eighty-four million, two hundred five thousand, eight hundred thirteen".