317981664 has 288 divisors, whose sum is σ = 1215212544. Its totient is φ = 76170240.

The previous prime is 317981659. The next prime is 317981669. The reversal of 317981664 is 466189713.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (317981659) and next prime (317981669).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×317981664² = 202224677280417792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317981669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287737 + ... + 288839.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^317981664 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 317981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607606272).

317981664 is an abundant number, since it is smaller than the sum of its proper divisors (897230880).

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

317981664 is a wasteful number, since it uses less digits than its factorization.

317981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 317981664 is about 17832.0403768049. The cubic root of 317981664 is about 682.5493004680.

The spelling of 317981664 in words is "three hundred seventeen million, nine hundred eighty-one thousand, six hundred sixty-four".