321314144 has 48 divisors (see below), whose sum is σ = 675854928. Its totient is φ = 149839872.

The previous prime is 321314141. The next prime is 321314221. The reversal of 321314144 is 441413123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321314141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58859 + ... + 64085.

It is an arithmetic number, because the mean of its divisors is an integer number (14080311).

Almost surely, 2^321314144 is an apocalyptic number.

321314144 is a gapful number since it is divisible by the number (34) 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 321314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337927464).

321314144 is an abundant number, since it is smaller than the sum of its proper divisors (354540784).

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

321314144 is a wasteful number, since it uses less digits than its factorization.

321314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5359 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 321314144 is about 17925.2376274347. The cubic root of 321314144 is about 684.9254142955.

Adding to 321314144 its reverse (441413123), we get a palindrome (762727267).

The spelling of 321314144 in words is "three hundred twenty-one million, three hundred fourteen thousand, one hundred forty-four".