317914417921 has 15 divisors (see below), whose sum is σ = 337957053573. Its totient is φ = 299060205600.

The previous prime is 317914417901. The next prime is 317914417939. The reversal of 317914417921 is 129714419713.

The square root of 317914417921 is 563839.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 98665720321 + 219248697600 = 314111^2 + 468240^2 .

It is not a de Polignac number, because 317914417921 - 2⁵ = 317914417889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317914417901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 162948496 + ... + 162950446.

Almost surely, 2^317914417921 is an apocalyptic number.

317914417921 is the 563839-th square number.

317914417921 is the 281920-th centered octagonal number.

It is an amenable number.

317914417921 is a deficient number, since it is larger than the sum of its proper divisors (20042635652).

317914417921 is an frugal number, since it uses more digits than its factorization.

317914417921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 1968 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

Multiplying 317914417921 by its sum of digits (49), we get a square (15577806478129 = 3946873²).

The spelling of 317914417921 in words is "three hundred seventeen billion, nine hundred fourteen million, four hundred seventeen thousand, nine hundred twenty-one".