313644 has 24 divisors (see below), whose sum is σ = 745920. Its totient is φ = 102544.

The previous prime is 313639. The next prime is 313661. The reversal of 313644 is 446313.

313644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313644.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313644.

It is an unprimeable number.

313644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2³¹³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

313644 is an abundant number, since it is smaller than the sum of its proper divisors (432276).

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

313644 is a wasteful number, since it uses less digits than its factorization.

313644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 313644 is about 560.0392843364. The cubic root of 313644 is about 67.9431474057.

Adding to 313644 its reverse (446313), we get a palindrome (759957).

The spelling of 313644 in words is "three hundred thirteen thousand, six hundred forty-four".