313296 has 40 divisors (see below), whose sum is σ = 830304. Its totient is φ = 101760.

The previous prime is 313289. The next prime is 313297. The reversal of 313296 is 692313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313297) 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, 2875 + ... + 2981.

2³¹³²⁹⁶ 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 313296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

313296 is an abundant number, since it is smaller than the sum of its proper divisors (517008).

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

313296 is a wasteful number, since it uses less digits than its factorization.

313296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 313296 is about 559.7285056168. The cubic root of 313296 is about 67.9180096004.

The spelling of 313296 in words is "three hundred thirteen thousand, two hundred ninety-six".