317693952 has 168 divisors, whose sum is σ = 954145920. Its totient is φ = 101744640.

The previous prime is 317693947. The next prime is 317693989. The reversal of 317693952 is 259396713.

It is a junction number, because it is equal to n+sod(n) for n = 317693898 and 317693907.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2285499 + ... + 2285637.

It is an arithmetic number, because the mean of its divisors is an integer number (5679440).

Almost surely, 2^317693952 is an apocalyptic number.

317693952 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 317693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477072960).

317693952 is an abundant number, since it is smaller than the sum of its proper divisors (636451968).

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

317693952 is a wasteful number, since it uses less digits than its factorization.

317693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 317693952 is about 17823.9712746627. The cubic root of 317693952 is about 682.3433799131.

It can be divided in two parts, 31769 and 3952, that added together give a square (35721 = 189²).

The spelling of 317693952 in words is "three hundred seventeen million, six hundred ninety-three thousand, nine hundred fifty-two".