384221 has 4 divisors (see below), whose sum is σ = 397500. Its totient is φ = 370944.

The previous prime is 384203. The next prime is 384227. The reversal of 384221 is 122483.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 122483 = 53 ⋅2311.

It can be written as a sum of positive squares in 2 ways, for example, as 148996 + 235225 = 386^2 + 485^2 .

It is a cyclic number.

It is not a de Polignac number, because 384221 - 2⁶ = 384157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 384193 and 384202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6596 + ... + 6653.

It is an arithmetic number, because the mean of its divisors is an integer number (99375).

2³⁸⁴²²¹ is an apocalyptic number.

It is an amenable number.

384221 is a deficient number, since it is larger than the sum of its proper divisors (13279).

384221 is a wasteful number, since it uses less digits than its factorization.

384221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13278.

The product of its digits is 384, while the sum is 20.

The square root of 384221 is about 619.8556283523. The cubic root of 384221 is about 72.6987649159.

The spelling of 384221 in words is "three hundred eighty-four thousand, two hundred twenty-one".