323121321 has 24 divisors (see below), whose sum is σ = 473111496. Its totient is φ = 212486400.

The previous prime is 323121311. The next prime is 323121341. The reversal of 323121321 is 123121323.

323121321 is a `hidden beast` number, since 32 + 312 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123210000 + 199911321 = 11100^2 + 14139^2 .

It is not a de Polignac number, because 323121321 - 2¹³ = 323113129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 323121294 and 323121303.

It is not an unprimeable number, because it can be changed into a prime (323121311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338581 + ... + 339533.

It is an arithmetic number, because the mean of its divisors is an integer number (19712979).

Almost surely, 2^323121321 is an apocalyptic number.

It is an amenable number.

323121321 is a deficient number, since it is larger than the sum of its proper divisors (149990175).

323121321 is a wasteful number, since it uses less digits than its factorization.

323121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1430 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 323121321 is about 17975.5756792376. The cubic root of 323121321 is about 686.2070967634.

Adding to 323121321 its reverse (123121323), we get a palindrome (446242644).

It can be divided in two parts, 32312 and 1321, that added together give a palindrome (33633).

The spelling of 323121321 in words is "three hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty-one".