313007634 has 48 divisors (see below), whose sum is σ = 718005600. Its totient is φ = 98273088.

The previous prime is 313007633. The next prime is 313007641. The reversal of 313007634 is 436700313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313007598 and 313007607.

It is not an unprimeable number, because it can be changed into a prime (313007633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58662 + ... + 63774.

It is an arithmetic number, because the mean of its divisors is an integer number (14958450).

Almost surely, 2^313007634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313007634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359002800).

313007634 is an abundant number, since it is smaller than the sum of its proper divisors (404997966).

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

313007634 is a wasteful number, since it uses less digits than its factorization.

313007634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 313007634 is about 17692.0217612346. The cubic root of 313007634 is about 678.9716535429.

Adding to 313007634 its reverse (436700313), we get a palindrome (749707947).

The spelling of 313007634 in words is "three hundred thirteen million, seven thousand, six hundred thirty-four".