313280 has 56 divisors (see below), whose sum is σ = 822960. Its totient is φ = 112640.

The previous prime is 313273. The next prime is 313289. The reversal of 313280 is 82313.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313280.

It is not an unprimeable number, because it can be changed into a prime (313289) by changing a digit.

313280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3476 + ... + 3564.

2³¹³²⁸⁰ 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 313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

313280 is an abundant number, since it is smaller than the sum of its proper divisors (509680).

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

313280 is a wasteful number, since it uses less digits than its factorization.

313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 313280 is about 559.7142127908. The cubic root of 313280 is about 67.9168533917.

Adding to 313280 its reverse (82313), we get a palindrome (395593).

The spelling of 313280 in words is "three hundred thirteen thousand, two hundred eighty".