313212064 has 96 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 134937600.

The previous prime is 313212059. The next prime is 313212077. The reversal of 313212064 is 460212313.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 622437 + ... + 622939.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^313212064 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 313212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

313212064 is an abundant number, since it is smaller than the sum of its proper divisors (395492576).

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

313212064 is a wasteful number, since it uses less digits than its factorization.

313212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 313212064 is about 17697.7982811422. The cubic root of 313212064 is about 679.1194369121.

Adding to 313212064 its reverse (460212313), we get a palindrome (773424377).

The spelling of 313212064 in words is "three hundred thirteen million, two hundred twelve thousand, sixty-four".