255312 has 50 divisors (see below), whose sum is σ = 742698. Its totient is φ = 84672.

The previous prime is 255259. The next prime is 255313. The reversal of 255312 is 213552.

It is a happy number.

255312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 1296 = 504^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 5 + 3¹¹ + 5⁷ + 1 + 2⁵ .

It is a nialpdrome in base 4.

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 255312.

It is not an unprimeable number, because it can be changed into a prime (255313) by changing a digit.

255312 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 9 ways as a sum of consecutive naturals, for example, 1198 + ... + 1394.

2²⁵⁵³¹² 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 255312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371349).

255312 is an abundant number, since it is smaller than the sum of its proper divisors (487386).

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

255312 is a wasteful number, since it uses less digits than its factorization.

255312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 255312 is about 505.2840785143. The cubic root of 255312 is about 63.4391091748.

Adding to 255312 its reverse (213552), we get a palindrome (468864).

The spelling of 255312 in words is "two hundred fifty-five thousand, three hundred twelve".