313217856 has 168 divisors, whose sum is σ = 1035612864. Its totient is φ = 88657920.

The previous prime is 313217851. The next prime is 313217881. The reversal of 313217856 is 658712313.

It is a tau number, because it is divible by the number of its divisors (168).

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 313217856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313217851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527896 + ... + 528488.

Almost surely, 2^313217856 is an apocalyptic number.

313217856 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 313217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517806432).

313217856 is an abundant number, since it is smaller than the sum of its proper divisors (722395008).

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

313217856 is a wasteful number, since it uses less digits than its factorization.

313217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 313217856 is about 17697.9619165598. The cubic root of 313217856 is about 679.1236230381.

The spelling of 313217856 in words is "three hundred thirteen million, two hundred seventeen thousand, eight hundred fifty-six".