317982000 has 320 divisors, whose sum is σ = 1199637504. Its totient is φ = 70963200.

The previous prime is 317981987. The next prime is 317982001. The reversal of 317982000 is 289713.

It is a happy number.

It is a super-2 number, since 2×317982000² = 202225104648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317982001) 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 63 ways as a sum of consecutive naturals, for example, 2813944 + ... + 2814056.

Almost surely, 2^317982000 is an apocalyptic number.

317982000 is a gapful number since it is divisible by the number (30) 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 317982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599818752).

317982000 is an abundant number, since it is smaller than the sum of its proper divisors (881655504).

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

317982000 is a wasteful number, since it uses less digits than its factorization.

317982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 317982000 is about 17832.0497980462. The cubic root of 317982000 is about 682.5495408765.

The spelling of 317982000 in words is "three hundred seventeen million, nine hundred eighty-two thousand".