321225144 has 32 divisors (see below), whose sum is σ = 803523840. Its totient is φ = 107013600.

The previous prime is 321225143. The next prime is 321225161. The reversal of 321225144 is 441522123.

It is a super-3 number, since 3×321225144³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321225143) 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, 61599 + ... + 66609.

It is an arithmetic number, because the mean of its divisors is an integer number (25110120).

Almost surely, 2^321225144 is an apocalyptic number.

It is an amenable number.

321225144 is an abundant number, since it is smaller than the sum of its proper divisors (482298696).

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

321225144 is a wasteful number, since it uses less digits than its factorization.

321225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7687 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 321225144 is about 17922.7549221653. The cubic root of 321225144 is about 684.8621698641.

Adding to 321225144 its reverse (441522123), we get a palindrome (762747267).

The spelling of 321225144 in words is "three hundred twenty-one million, two hundred twenty-five thousand, one hundred forty-four".