321252 has 24 divisors (see below), whose sum is σ = 789600. Its totient is φ = 101376.

The previous prime is 321247. The next prime is 321289. The reversal of 321252 is 252123.

321252 is nontrivially palindromic in base 16.

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 321252.

It is an unprimeable number.

321252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (32900).

2³²¹²⁵² is an apocalyptic number.

It is an amenable number.

321252 is an abundant number, since it is smaller than the sum of its proper divisors (468348).

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

321252 is a wasteful number, since it uses less digits than its factorization.

321252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 321252 is about 566.7909667594. The cubic root of 321252 is about 68.4881255279.

Adding to 321252 its reverse (252123), we get a palindrome (573375).

The spelling of 321252 in words is "three hundred twenty-one thousand, two hundred fifty-two".