384260033 has 2 divisors, whose sum is σ = 384260034. Its totient is φ = 384260032.

The previous prime is 384259991. The next prime is 384260039. The reversal of 384260033 is 330062483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218803264 + 165456769 = 14792^2 + 12863^2 .

It is an emirp because it is prime and its reverse (330062483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384260033 - 2¹⁰ = 384259009 is a prime.

It is a super-3 number, since 3×384260033³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 384259978 and 384260005.

It is not a weakly prime, because it can be changed into another prime (384260039) 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, 192130016 + 192130017.

It is an arithmetic number, because the mean of its divisors is an integer number (192130017).

Almost surely, 2^384260033 is an apocalyptic number.

It is an amenable number.

384260033 is a deficient number, since it is larger than the sum of its proper divisors (1).

384260033 is an equidigital number, since it uses as much as digits as its factorization.

384260033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 384260033 is about 19602.5516961441. The cubic root of 384260033 is about 727.0122665434.

The spelling of 384260033 in words is "three hundred eighty-four million, two hundred sixty thousand, thirty-three".