34221 has 16 divisors (see below), whose sum is σ = 53568. Its totient is φ = 19200.

The previous prime is 34217. The next prime is 34231. The reversal of 34221 is 12243.

34221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34221 - 2² = 34217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34197 and 34206.

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 34221.

It is not an unprimeable number, because it can be changed into a prime (34211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2³⁴²²¹ is an apocalyptic number.

It is an amenable number.

34221 is a deficient number, since it is larger than the sum of its proper divisors (19347).

34221 is a wasteful number, since it uses less digits than its factorization.

34221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 48, while the sum is 12.

The square root of 34221 is about 184.9891888733. The cubic root of 34221 is about 32.4661580668.

Adding to 34221 its reverse (12243), we get a palindrome (46464).

It can be divided in two parts, 342 and 21, that added together give a palindrome (363).

The spelling of 34221 in words is "thirty-four thousand, two hundred twenty-one".