221320329 has 16 divisors (see below), whose sum is σ = 308291712. Its totient is φ = 140963328.

The previous prime is 221320313. The next prime is 221320339. The reversal of 221320329 is 923023122.

It is not a de Polignac number, because 221320329 - 2⁴ = 221320313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221320299 and 221320308.

It is not an unprimeable number, because it can be changed into a prime (221320339) 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 15 ways as a sum of consecutive naturals, for example, 84057 + ... + 86649.

It is an arithmetic number, because the mean of its divisors is an integer number (19268232).

Almost surely, 2^221320329 is an apocalyptic number.

It is an amenable number.

221320329 is a deficient number, since it is larger than the sum of its proper divisors (86971383).

221320329 is a wasteful number, since it uses less digits than its factorization.

221320329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 221320329 is about 14876.8386762780. The cubic root of 221320329 is about 604.8863288479.

The spelling of 221320329 in words is "two hundred twenty-one million, three hundred twenty thousand, three hundred twenty-nine".