321224 has 8 divisors (see below), whose sum is σ = 602310. Its totient is φ = 160608.

The previous prime is 321221. The next prime is 321227. The reversal of 321224 is 422123.

It is an interprime number because it is at equal distance from previous prime (321221) and next prime (321227).

It can be written as a sum of positive squares in only one way, i.e., 268324 + 52900 = 518^2 + 230^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 321199 and 321208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321224.

It is not an unprimeable number, because it can be changed into a prime (321221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20069 + ... + 20084.

2³²¹²²⁴ is an apocalyptic number.

It is an amenable number.

321224 is a deficient number, since it is larger than the sum of its proper divisors (281086).

321224 is a wasteful number, since it uses less digits than its factorization.

321224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40159 (or 40155 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 321224 is about 566.7662657569. The cubic root of 321224 is about 68.4861356848.

Adding to 321224 its reverse (422123), we get a palindrome (743347).

It can be divided in two parts, 321 and 224, that added together give a palindrome (545).

The spelling of 321224 in words is "three hundred twenty-one thousand, two hundred twenty-four", and thus it is an iban number.