312313221 has 18 divisors (see below), whose sum is σ = 495859910. Its totient is φ = 189280080.

The previous prime is 312313181. The next prime is 312313223. The reversal of 312313221 is 122313213.

312313221 is a `hidden beast` number, since 312 + 31 + 322 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165636900 + 146676321 = 12870^2 + 12111^2 .

It is not a de Polignac number, because 312313221 - 2¹⁷ = 312182149 is a prime.

It is a super-2 number, since 2×312313221² = 195079096022789682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312313194 and 312313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142306 + ... + 144483.

Almost surely, 2^312313221 is an apocalyptic number.

It is an amenable number.

312313221 is a deficient number, since it is larger than the sum of its proper divisors (183546689).

312313221 is a wasteful number, since it uses less digits than its factorization.

312313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286817 (or 286803 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 312313221 is about 17672.3858321394. The cubic root of 312313221 is about 678.4691782152.

Adding to 312313221 its reverse (122313213), we get a palindrome (434626434).

The spelling of 312313221 in words is "three hundred twelve million, three hundred thirteen thousand, two hundred twenty-one".