384001 has 2 divisors, whose sum is σ = 384002. Its totient is φ = 384000.

The previous prime is 383987. The next prime is 384017. The reversal of 384001 is 100483.

It is an a-pointer prime, because the next prime (384017) can be obtained adding 384001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378225 + 5776 = 615^2 + 76^2 .

It is an emirp because it is prime and its reverse (100483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384001 - 2⁵ = 383969 is a prime.

It is not a weakly prime, because it can be changed into another prime (384061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192000 + 192001.

It is an arithmetic number, because the mean of its divisors is an integer number (192001).

It is a Proth number, since it is equal to 375 ⋅ 2¹⁰ + 1 and 375 < 2¹⁰.

2³⁸⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

384001 is a deficient number, since it is larger than the sum of its proper divisors (1).

384001 is an equidigital number, since it uses as much as digits as its factorization.

384001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 384001 is about 619.6781422642. The cubic root of 384001 is about 72.6848868077.

Adding to 384001 its reverse (100483), we get a palindrome (484484).

The spelling of 384001 in words is "three hundred eighty-four thousand, one".