312213321 has 48 divisors (see below), whose sum is σ = 525732480. Its totient is φ = 174873600.

The previous prime is 312213299. The next prime is 312213323. The reversal of 312213321 is 123312213.

312213321 is a `hidden beast` number, since 312 + 21 + 332 + 1 = 666.

It is not a de Polignac number, because 312213321 - 2⁶ = 312213257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312213294 and 312213303.

It is not an unprimeable number, because it can be changed into a prime (312213323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884281 + ... + 884633.

It is an arithmetic number, because the mean of its divisors is an integer number (10952760).

Almost surely, 2^312213321 is an apocalyptic number.

It is an amenable number.

312213321 is a deficient number, since it is larger than the sum of its proper divisors (213519159).

312213321 is a wasteful number, since it uses less digits than its factorization.

312213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

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

The square root of 312213321 is about 17669.5591625824. The cubic root of 312213321 is about 678.3968295873.

Adding to 312213321 its reverse (123312213), we get a palindrome (435525534).

The spelling of 312213321 in words is "three hundred twelve million, two hundred thirteen thousand, three hundred twenty-one".