317198112 has 288 divisors, whose sum is σ = 1081092096. Its totient is φ = 79664640.

The previous prime is 317198071. The next prime is 317198117. The reversal of 317198112 is 211891713.

It is a super-2 number, since 2×317198112² = 201229284512729088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (317198117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3821623 + ... + 3821705.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^317198112 is an apocalyptic number.

317198112 is a gapful number since it is divisible by the number (32) 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 317198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540546048).

317198112 is an abundant number, since it is smaller than the sum of its proper divisors (763893984).

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

317198112 is a wasteful number, since it uses less digits than its factorization.

317198112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 3024, while the sum is 33.

The square root of 317198112 is about 17810.0564850311. The cubic root of 317198112 is about 681.9882065252.

The spelling of 317198112 in words is "three hundred seventeen million, one hundred ninety-eight thousand, one hundred twelve".