317142020 has 72 divisors (see below), whose sum is σ = 729093960. Its totient is φ = 115814400.

The previous prime is 317142013. The next prime is 317142031. The reversal of 317142020 is 20241713.

317142020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 189723076 + 127418944 = 13774^2 + 11288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 317141983 and 317142001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340916 + ... + 341844.

It is an arithmetic number, because the mean of its divisors is an integer number (10126305).

Almost surely, 2^317142020 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 317142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364546980).

317142020 is an abundant number, since it is smaller than the sum of its proper divisors (411951940).

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

317142020 is a wasteful number, since it uses less digits than its factorization.

317142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 317142020 is about 17808.4816871063. The cubic root of 317142020 is about 681.9480041657.

Adding to 317142020 its reverse (20241713), we get a palindrome (337383733).

The spelling of 317142020 in words is "three hundred seventeen million, one hundred forty-two thousand, twenty".