321312 has 24 divisors (see below), whose sum is σ = 843696. Its totient is φ = 107072.

The previous prime is 321311. The next prime is 321313. The reversal of 321312 is 213123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (321311) and next prime (321313).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321312.

It is not an unprimeable number, because it can be changed into a prime (321311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1578 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2³²¹³¹² is an apocalyptic number.

321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321312 is an abundant number, since it is smaller than the sum of its proper divisors (522384).

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

321312 is a wasteful number, since it uses less digits than its factorization.

321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

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

The square root of 321312 is about 566.8438938544. The cubic root of 321312 is about 68.4923890882.

Adding to 321312 its reverse (213123), we get a palindrome (534435).

It can be divided in two parts, 3 and 21312, that multiplied together give a palindrome (63936).

The spelling of 321312 in words is "three hundred twenty-one thousand, three hundred twelve", and thus it is an iban number.