313444164 has 48 divisors (see below), whose sum is σ = 844796736. Its totient is φ = 89395200.

The previous prime is 313444163. The next prime is 313444171. The reversal of 313444164 is 461444313.

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

It is not an unprimeable number, because it can be changed into a prime (313444163) 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, 67597 + ... + 72084.

It is an arithmetic number, because the mean of its divisors is an integer number (17599932).

Almost surely, 2^313444164 is an apocalyptic number.

313444164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313444164 is an abundant number, since it is smaller than the sum of its proper divisors (531352572).

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

313444164 is a wasteful number, since it uses less digits than its factorization.

313444164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139716 (or 139714 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 313444164 is about 17704.3543796434. The cubic root of 313444164 is about 679.2871451208.

Adding to 313444164 its reverse (461444313), we get a palindrome (774888477).

The spelling of 313444164 in words is "three hundred thirteen million, four hundred forty-four thousand, one hundred sixty-four".