313216164 has 18 divisors (see below), whose sum is σ = 791740950. Its totient is φ = 104405376.

The previous prime is 313216133. The next prime is 313216181. The reversal of 313216164 is 461612313.

It can be written as a sum of positive squares in only one way, i.e., 243360000 + 69856164 = 15600^2 + 8358^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4350189 + ... + 4350260.

Almost surely, 2^313216164 is an apocalyptic number.

It is an amenable number.

313216164 is an abundant number, since it is smaller than the sum of its proper divisors (478524786).

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

313216164 is a wasteful number, since it uses less digits than its factorization.

313216164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700459 (or 8700454 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 313216164 is about 17697.9141143808. The cubic root of 313216164 is about 679.1224001627.

Adding to 313216164 its reverse (461612313), we get a palindrome (774828477).

The spelling of 313216164 in words is "three hundred thirteen million, two hundred sixteen thousand, one hundred sixty-four".