313208 has 48 divisors (see below), whose sum is σ = 738720. Its totient is φ = 123648.

The previous prime is 313207. The next prime is 313211. The reversal of 313208 is 802313.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6641 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2³¹³²⁰⁸ 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 313208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360).

313208 is an abundant number, since it is smaller than the sum of its proper divisors (425512).

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

313208 is a wasteful number, since it uses less digits than its factorization.

313208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

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

The square root of 313208 is about 559.6498905566. The cubic root of 313208 is about 67.9116499655.

The spelling of 313208 in words is "three hundred thirteen thousand, two hundred eight".