38221 has 4 divisors (see below), whose sum is σ = 39292. Its totient is φ = 37152.

The previous prime is 38219. The next prime is 38231. The reversal of 38221 is 12283.

It is a happy number.

38221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12283 = 71 ⋅173.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 2500 = 189^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 38221 - 2¹ = 38219 is a prime.

It is the 196-th Hogben number.

It is a Duffinian number.

38221 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 38195 and 38204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38201) by changing a digit.

It is a nontrivial repunit in base 195.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (9823).

2³⁸²²¹ is an apocalyptic number.

38221 is the 105-th centered heptagonal number.

It is an amenable number.

38221 is a deficient number, since it is larger than the sum of its proper divisors (1071).

38221 is a wasteful number, since it uses less digits than its factorization.

38221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070.

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

The square root of 38221 is about 195.5019181492. The cubic root of 38221 is about 33.6848032636.

The spelling of 38221 in words is "thirty-eight thousand, two hundred twenty-one".