238221 has 20 divisors (see below), whose sum is σ = 378972. Its totient is φ = 148608.

The previous prime is 238213. The next prime is 238223. The reversal of 238221 is 122832.

It is a happy number.

238221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202500 + 35721 = 450^2 + 189^2 .

It is not a de Polignac number, because 238221 - 2³ = 238213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238194 and 238203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238221.

It is not an unprimeable number, because it can be changed into a prime (238223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1291 + ... + 1463.

2²³⁸²²¹ is an apocalyptic number.

It is an amenable number.

238221 is a deficient number, since it is larger than the sum of its proper divisors (140751).

238221 is a wasteful number, since it uses less digits than its factorization.

238221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 238221 is about 488.0788870664. The cubic root of 238221 is about 61.9907200818.

The spelling of 238221 in words is "two hundred thirty-eight thousand, two hundred twenty-one".