327629167321 has 9 divisors (see below), whose sum is σ = 330302524149. Its totient is φ = 324977289084.

The previous prime is 327629167301. The next prime is 327629167339. The reversal of 327629167321 is 123761926723.

The square root of 327629167321 is 572389.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 327629167321 - 2¹⁷ = 327629036249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327629167301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72691150 + ... + 72695656.

It is an arithmetic number, because the mean of its divisors is an integer number (36700280461).

Almost surely, 2^327629167321 is an apocalyptic number.

327629167321 is the 572389-th square number.

327629167321 is the 286195-th centered octagonal number.

It is an amenable number.

327629167321 is a deficient number, since it is larger than the sum of its proper divisors (2673356828).

327629167321 is an frugal number, since it uses more digits than its factorization.

327629167321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 4634 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

Multiplying 327629167321 by its sum of digits (49), we get a square (16053829198729 = 4006723²).

The spelling of 327629167321 in words is "three hundred twenty-seven billion, six hundred twenty-nine million, one hundred sixty-seven thousand, three hundred twenty-one".