312936 has 64 divisors (see below), whose sum is σ = 907200. Its totient is φ = 89088.

The previous prime is 312931. The next prime is 312937. The reversal of 312936 is 639213.

It is a Harshad number since it is a multiple of its sum of digits (24).

312936 is a modest number, since divided by 936 gives 312 as remainder.

It is not an unprimeable number, because it can be changed into a prime (312931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5275 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2³¹²⁹³⁶ 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 312936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

312936 is an abundant number, since it is smaller than the sum of its proper divisors (594264).

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

312936 is a wasteful number, since it uses less digits than its factorization.

312936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 312936 is about 559.4068287034. The cubic root of 312936 is about 67.8919853777.

The spelling of 312936 in words is "three hundred twelve thousand, nine hundred thirty-six".