384004541 has 2 divisors, whose sum is σ = 384004542. Its totient is φ = 384004540.

The previous prime is 384004531. The next prime is 384004549. The reversal of 384004541 is 145400483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196588441 + 187416100 = 14021^2 + 13690^2 .

It is a cyclic number.

It is not a de Polignac number, because 384004541 - 2⁶ = 384004477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_20528048 and since 384004541 and 20528048 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384004549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192002270 + 192002271.

It is an arithmetic number, because the mean of its divisors is an integer number (192002271).

Almost surely, 2^384004541 is an apocalyptic number.

It is an amenable number.

384004541 is a deficient number, since it is larger than the sum of its proper divisors (1).

384004541 is an equidigital number, since it uses as much as digits as its factorization.

384004541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 384004541 is about 19596.0338078908. The cubic root of 384004541 is about 726.8511022412.

The spelling of 384004541 in words is "three hundred eighty-four million, four thousand, five hundred forty-one".