329121 has 24 divisors (see below), whose sum is σ = 535080. Its totient is φ = 193536.

The previous prime is 329111. The next prime is 329123. The reversal of 329121 is 121923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11025 + 318096 = 105^2 + 564^2 .

It is not a de Polignac number, because 329121 - 2⁵ = 329089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329094 and 329103.

It is not an unprimeable number, because it can be changed into a prime (329123) 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, 3345 + ... + 3441.

It is an arithmetic number, because the mean of its divisors is an integer number (22295).

2³²⁹¹²¹ is an apocalyptic number.

It is an amenable number.

329121 is a deficient number, since it is larger than the sum of its proper divisors (205959).

329121 is a wasteful number, since it uses less digits than its factorization.

329121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 329121 is about 573.6906832083. The cubic root of 329121 is about 69.0428215605.

The spelling of 329121 in words is "three hundred twenty-nine thousand, one hundred twenty-one".