121329 has 24 divisors (see below), whose sum is σ = 203112. Its totient is φ = 69120.

The previous prime is 121327. The next prime is 121333. The reversal of 121329 is 923121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 225 + 121104 = 15^2 + 348^2 .

It is not a de Polignac number, because 121329 - 2¹ = 121327 is a prime.

It is a Curzon number.

121329 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2¹²¹³²⁹ is an apocalyptic number.

It is an amenable number.

121329 is a deficient number, since it is larger than the sum of its proper divisors (81783).

121329 is a wasteful number, since it uses less digits than its factorization.

121329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

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

The square root of 121329 is about 348.3231258473. The cubic root of 121329 is about 49.5056620398.

The spelling of 121329 in words is "one hundred twenty-one thousand, three hundred twenty-nine".