312736 has 24 divisors (see below), whose sum is σ = 638820. Its totient is φ = 150528.

The previous prime is 312727. The next prime is 312737. The reversal of 312736 is 637213.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 3600 = 556^2 + 60^2 .

It is not an unprimeable number, because it can be changed into a prime (312737) 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 3 ways as a sum of consecutive naturals, for example, 760 + ... + 1096.

2³¹²⁷³⁶ 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 312736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319410).

312736 is an abundant number, since it is smaller than the sum of its proper divisors (326084).

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

312736 is a wasteful number, since it uses less digits than its factorization.

312736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 312736 is about 559.2280393543. The cubic root of 312736 is about 67.8775188512.

Adding to 312736 its reverse (637213), we get a palindrome (949949).

The spelling of 312736 in words is "three hundred twelve thousand, seven hundred thirty-six".