312256 has 56 divisors (see below), whose sum is σ = 768096. Its totient is φ = 122880.

The previous prime is 312253. The next prime is 312269. The reversal of 312256 is 652213.

312256 = T₄₃ + T₄₄ + ... + T₁₂₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 7636.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2³¹²²⁵⁶ 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 312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

312256 is an abundant number, since it is smaller than the sum of its proper divisors (455840).

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

312256 is a wasteful number, since it uses less digits than its factorization.

312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 312256 is about 558.7987115232. The cubic root of 312256 is about 67.8427740055.

Adding to 312256 its reverse (652213), we get a palindrome (964469).

The spelling of 312256 in words is "three hundred twelve thousand, two hundred fifty-six".