320368321 has 24 divisors (see below), whose sum is σ = 402702720. Its totient is φ = 252618912.

The previous prime is 320368313. The next prime is 320368337. The reversal of 320368321 is 123863023.

320368321 = T₇₀₁₄ + T₇₀₁₅ + ... + T₇₀₂₆.

It is not a de Polignac number, because 320368321 - 2³ = 320368313 is a prime.

It is a super-3 number, since 3×320368321³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 320368321.

It is not an unprimeable number, because it can be changed into a prime (320368351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240760 + ... + 242086.

It is an arithmetic number, because the mean of its divisors is an integer number (16779280).

Almost surely, 2^320368321 is an apocalyptic number.

It is an amenable number.

320368321 is a deficient number, since it is larger than the sum of its proper divisors (82334399).

320368321 is a wasteful number, since it uses less digits than its factorization.

320368321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 320368321 is about 17898.8357442600. The cubic root of 320368321 is about 684.2527030721.

The spelling of 320368321 in words is "three hundred twenty million, three hundred sixty-eight thousand, three hundred twenty-one".