313210420 has 24 divisors (see below), whose sum is σ = 658413000. Its totient is φ = 125156352.

The previous prime is 313210379. The next prime is 313210423. The reversal of 313210420 is 24012313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 149523984 + 163686436 = 12228^2 + 12794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313210394 and 313210403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313210423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13516 + ... + 28444.

It is an arithmetic number, because the mean of its divisors is an integer number (27433875).

Almost surely, 2^313210420 is an apocalyptic number.

It is an amenable number.

313210420 is an abundant number, since it is smaller than the sum of its proper divisors (345202580).

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

313210420 is a wasteful number, since it uses less digits than its factorization.

313210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15987 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313210420 is about 17697.7518346258. The cubic root of 313210420 is about 679.1182487136.

Adding to 313210420 its reverse (24012313), we get a palindrome (337222733).

The spelling of 313210420 in words is "three hundred thirteen million, two hundred ten thousand, four hundred twenty".