316764 has 48 divisors (see below), whose sum is σ = 940800. Its totient is φ = 90288.

The previous prime is 316759. The next prime is 316769. The reversal of 316764 is 467613.

316764 = 18² + 19² + ... + 98².

It is an interprime number because it is at equal distance from previous prime (316759) and next prime (316769).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316764.

It is not an unprimeable number, because it can be changed into a prime (316769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2³¹⁶⁷⁶⁴ 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 316764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

316764 is an abundant number, since it is smaller than the sum of its proper divisors (624036).

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

316764 is a wasteful number, since it uses less digits than its factorization.

316764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 316764 is about 562.8179101628. The cubic root of 316764 is about 68.1676945291.

The spelling of 316764 in words is "three hundred sixteen thousand, seven hundred sixty-four".