316753164 has 144 divisors (see below), whose sum is σ = 1017569280. Its totient is φ = 80818560.

The previous prime is 316753147. The next prime is 316753181. The reversal of 316753164 is 461357613.

316753164 is a `hidden beast` number, since 3 + 1 + 67 + 531 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (316753147) and next prime (316753181).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 99997 + ... + 103115.

Almost surely, 2^316753164 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 316753164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508784640).

316753164 is an abundant number, since it is smaller than the sum of its proper divisors (700816116).

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

316753164 is a wasteful number, since it uses less digits than its factorization.

316753164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3175 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 316753164 is about 17797.5606193658. The cubic root of 316753164 is about 681.6691721688.

The spelling of 316753164 in words is "three hundred sixteen million, seven hundred fifty-three thousand, one hundred sixty-four".