312330 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 80192.

The previous prime is 312313. The next prime is 312331. The reversal of 312330 is 33213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312331) by changing a digit.

312330 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 15 ways as a sum of consecutive naturals, for example, 691 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³¹²³³⁰ is an apocalyptic number.

312330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

312330 is an abundant number, since it is smaller than the sum of its proper divisors (465270).

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

312330 is a wasteful number, since it uses less digits than its factorization.

312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 312330 is about 558.8649210677. The cubic root of 312330 is about 67.8481328230.

Adding to 312330 its reverse (33213), we get a palindrome (345543).

The spelling of 312330 in words is "three hundred twelve thousand, three hundred thirty".