312917436 has 144 divisors (see below), whose sum is σ = 927186624. Its totient is φ = 88086528.

The previous prime is 312917417. The next prime is 312917443. The reversal of 312917436 is 634719213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312917436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293841 + ... + 294903.

It is an arithmetic number, because the mean of its divisors is an integer number (6438796).

Almost surely, 2^312917436 is an apocalyptic number.

312917436 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 312917436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463593312).

312917436 is an abundant number, since it is smaller than the sum of its proper divisors (614269188).

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

312917436 is a wasteful number, since it uses less digits than its factorization.

312917436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1135 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 312917436 is about 17689.4724624563. The cubic root of 312917436 is about 678.9064285430.

The spelling of 312917436 in words is "three hundred twelve million, nine hundred seventeen thousand, four hundred thirty-six".