321289956 has 144 divisors (see below), whose sum is σ = 934617600. Its totient is φ = 95292288.

The previous prime is 321289951. The next prime is 321289957. The reversal of 321289956 is 659982123.

321289956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (321289951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529005 + ... + 529611.

It is an arithmetic number, because the mean of its divisors is an integer number (6490400).

Almost surely, 2^321289956 is an apocalyptic number.

321289956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321289956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467308800).

321289956 is an abundant number, since it is smaller than the sum of its proper divisors (613327644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321289956 is a wasteful number, since it uses less digits than its factorization.

321289956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 321289956 is about 17924.5629235415. The cubic root of 321289956 is about 684.9082271782.

The spelling of 321289956 in words is "three hundred twenty-one million, two hundred eighty-nine thousand, nine hundred fifty-six".