180312 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 54560.

The previous prime is 180311. The next prime is 180317. The reversal of 180312 is 213081.

It is a happy number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 180291 and 180300.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180312.

It is not an unprimeable number, because it can be changed into a prime (180311) 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, 78 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2¹⁸⁰³¹² is an apocalyptic number.

180312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

180312 is an abundant number, since it is smaller than the sum of its proper divisors (312168).

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

180312 is a wasteful number, since it uses less digits than its factorization.

180312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 180312 is about 424.6316050414. The cubic root of 180312 is about 56.4947654847.

Adding to 180312 its reverse (213081), we get a palindrome (393393).

The spelling of 180312 in words is "one hundred eighty thousand, three hundred twelve".