329221 has 4 divisors (see below), whose sum is σ = 330444. Its totient is φ = 328000.

The previous prime is 329209. The next prime is 329233. The reversal of 329221 is 122923.

It is a happy number.

329221 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 122923 = 83 ⋅1481.

It is an interprime number because it is at equal distance from previous prime (329209) and next prime (329233).

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 93025 = 486^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 329221 - 2⁹ = 328709 is a prime.

It is a Duffinian number.

329221 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (82611).

2³²⁹²²¹ is an apocalyptic number.

It is an amenable number.

329221 is a deficient number, since it is larger than the sum of its proper divisors (1223).

329221 is an equidigital number, since it uses as much as digits as its factorization.

329221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222.

The product of its digits is 216, while the sum is 19.

The square root of 329221 is about 573.7778315690. Note that the first 3 decimals coincide. The cubic root of 329221 is about 69.0498135006.

It can be divided in two parts, 32922 and 1, that added together give a palindrome (32923).

The spelling of 329221 in words is "three hundred twenty-nine thousand, two hundred twenty-one".