313165664 has 144 divisors (see below), whose sum is σ = 760142880. Its totient is φ = 126443520.

The previous prime is 313165661. The next prime is 313165673. The reversal of 313165664 is 466561313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313165661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3228464 + ... + 3228560.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^313165664 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 313165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380071440).

313165664 is an abundant number, since it is smaller than the sum of its proper divisors (446977216).

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

313165664 is a wasteful number, since it uses less digits than its factorization.

313165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 313165664 is about 17696.4873350617. The cubic root of 313165664 is about 679.0858997853.

The spelling of 313165664 in words is "three hundred thirteen million, one hundred sixty-five thousand, six hundred sixty-four".