313386216 has 128 divisors (see below), whose sum is σ = 928972800. Its totient is φ = 86849280.

The previous prime is 313386197. The next prime is 313386217. The reversal of 313386216 is 612683313.

It is a super-3 number, since 3×313386216³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313386217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435505 + ... + 436223.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^313386216 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 313386216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

313386216 is an abundant number, since it is smaller than the sum of its proper divisors (615586584).

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

313386216 is a wasteful number, since it uses less digits than its factorization.

313386216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 313386216 is about 17702.7177574518. The cubic root of 313386216 is about 679.2452814632.

The spelling of 313386216 in words is "three hundred thirteen million, three hundred eighty-six thousand, two hundred sixteen".