321288 has 32 divisors (see below), whose sum is σ = 876960. Its totient is φ = 97280.

The previous prime is 321247. The next prime is 321289. The reversal of 321288 is 882123.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321289) 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, 345 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2³²¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

321288 is an abundant number, since it is smaller than the sum of its proper divisors (555672).

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

321288 is a wasteful number, since it uses less digits than its factorization.

321288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 321288 is about 566.8227236094. The cubic root of 321288 is about 68.4906837278.

The spelling of 321288 in words is "three hundred twenty-one thousand, two hundred eighty-eight".