67221 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 34560.

The previous prime is 67219. The next prime is 67231. The reversal of 67221 is 12276.

It is a happy number.

It is not a de Polignac number, because 67221 - 2¹ = 67219 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 67194 and 67203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2⁶⁷²²¹ is an apocalyptic number.

It is an amenable number.

67221 is a deficient number, since it is larger than the sum of its proper divisors (55083).

67221 is a wasteful number, since it uses less digits than its factorization.

67221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 67221 is about 259.2701294017. The cubic root of 67221 is about 40.6600888163.

Multiplying 67221 by its product of digits (168), we get a triangular number (11293128 = T₄₇₅₂).

Adding to 67221 its reverse (12276), we get a palindrome (79497).

Subtracting from 67221 its reverse (12276), we obtain a palindrome (54945).

It can be divided in two parts, 6 and 7221, that added together give a palindrome (7227).

The spelling of 67221 in words is "sixty-seven thousand, two hundred twenty-one".