321321000 has 512 divisors, whose sum is σ = 1358622720. Its totient is φ = 61056000.

The previous prime is 321320981. The next prime is 321321001. The reversal of 321321000 is 123123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (321321001) 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 127 ways as a sum of consecutive naturals, for example, 3002947 + ... + 3003053.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^321321000 is an apocalyptic number.

321321000 is a gapful number since it is divisible by the number (30) 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 321321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

321321000 is an abundant number, since it is smaller than the sum of its proper divisors (1037301720).

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

321321000 is a wasteful number, since it uses less digits than its factorization.

321321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 321321000 is about 17925.4288651625. The cubic root of 321321000 is about 684.9302857640.

Adding to 321321000 its reverse (123123), we get a palindrome (321444123).

The spelling of 321321000 in words is "three hundred twenty-one million, three hundred twenty-one thousand".