312336 has 50 divisors (see below), whose sum is σ = 907742. Its totient is φ = 103680.

The previous prime is 312331. The next prime is 312343. The reversal of 312336 is 633213.

It is a happy number.

312336 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 20736 = 540^2 + 144^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1176 + ... + 1416.

2³¹²³³⁶ is an apocalyptic number.

312336 is a gapful number since it is divisible by the number (36) 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 312336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453871).

312336 is an abundant number, since it is smaller than the sum of its proper divisors (595406).

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

312336 is a wasteful number, since it uses less digits than its factorization.

312336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 312336 is about 558.8702890654. The cubic root of 312336 is about 67.8485672846.

Adding to 312336 its reverse (633213), we get a palindrome (945549).

The spelling of 312336 in words is "three hundred twelve thousand, three hundred thirty-six".