312224 has 24 divisors (see below), whose sum is σ = 671328. Its totient is φ = 141760.

The previous prime is 312217. The next prime is 312229. The reversal of 312224 is 422213.

It is a junction number, because it is equal to n+sod(n) for n = 312199 and 312208.

It is not an unprimeable number, because it can be changed into a prime (312229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 92 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2³¹²²²⁴ is an apocalyptic number.

It is an amenable number.

312224 is an abundant number, since it is smaller than the sum of its proper divisors (359104).

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

312224 is a wasteful number, since it uses less digits than its factorization.

312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 312224 is about 558.7700779390. The cubic root of 312224 is about 67.8404564168.

Adding to 312224 its reverse (422213), we get a palindrome (734437).

The spelling of 312224 in words is "three hundred twelve thousand, two hundred twenty-four", and thus it is an iban number.