313221 has 8 divisors (see below), whose sum is σ = 421344. Its totient is φ = 206960.

The previous prime is 313219. The next prime is 313241. The reversal of 313221 is 122313.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313221 - 2¹ = 313219 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313197 and 313206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313211) 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, 6 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2³¹³²²¹ is an apocalyptic number.

It is an amenable number.

313221 is a deficient number, since it is larger than the sum of its proper divisors (108123).

313221 is a wasteful number, since it uses less digits than its factorization.

313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931.

The product of its digits is 36, while the sum is 12.

The square root of 313221 is about 559.6615048402. The cubic root of 313221 is about 67.9125895320.

Adding to 313221 its reverse (122313), we get a palindrome (435534).

The spelling of 313221 in words is "three hundred thirteen thousand, two hundred twenty-one".