54312 has 32 divisors (see below), whose sum is σ = 142080. Its totient is φ = 17280.

The previous prime is 54311. The next prime is 54319. The reversal of 54312 is 21345.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54291 and 54300.

It is not an unprimeable number, because it can be changed into a prime (54311) 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, 708 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2⁵⁴³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71040).

54312 is an abundant number, since it is smaller than the sum of its proper divisors (87768).

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

54312 is a wasteful number, since it uses less digits than its factorization.

54312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

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

The square root of 54312 is about 233.0493509967. The cubic root of 54312 is about 37.8702871850.

Adding to 54312 its reverse (21345), we get a palindrome (75657).

It can be divided in two parts, 543 and 12, that added together give a palindrome (555).

The spelling of 54312 in words is "fifty-four thousand, three hundred twelve".