312208 has 40 divisors (see below), whose sum is σ = 694400. Its totient is φ = 134784.

The previous prime is 312203. The next prime is 312209. The reversal of 312208 is 802213.

It is a happy number.

It is a super-3 number, since 3×312208³ = 91296333480308736, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312191 and 312200.

It is not an unprimeable number, because it can be changed into a prime (312203) by changing a digit.

312208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3913 + ... + 3991.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2³¹²²⁰⁸ is an apocalyptic number.

312208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347200).

312208 is an abundant number, since it is smaller than the sum of its proper divisors (382192).

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

312208 is a wasteful number, since it uses less digits than its factorization.

312208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312208 is about 558.7557605967. The cubic root of 312208 is about 67.8392975630.

The spelling of 312208 in words is "three hundred twelve thousand, two hundred eight".