321672 has 32 divisors (see below), whose sum is σ = 866880. Its totient is φ = 98880.

The previous prime is 321661. The next prime is 321679. The reversal of 321672 is 276123.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321672.

It is not an unprimeable number, because it can be changed into a prime (321679) by changing a digit.

321672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (27090).

2³²¹⁶⁷² is an apocalyptic number.

It is an amenable number.

321672 is an abundant number, since it is smaller than the sum of its proper divisors (545208).

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

321672 is a wasteful number, since it uses less digits than its factorization.

321672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 321672 is about 567.1613527031. The cubic root of 321672 is about 68.5179593097.

Adding to 321672 its reverse (276123), we get a palindrome (597795).

The spelling of 321672 in words is "three hundred twenty-one thousand, six hundred seventy-two".