312912321 has 8 divisors (see below), whose sum is σ = 417312000. Its totient is φ = 208560432.

The previous prime is 312912199. The next prime is 312912337. The reversal of 312912321 is 123219213.

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

It is not a de Polignac number, because 312912321 - 2¹³ = 312904129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312912291 and 312912300.

It is not an unprimeable number, because it can be changed into a prime (312912361) 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 7 ways as a sum of consecutive naturals, for example, 8176 + ... + 26318.

It is an arithmetic number, because the mean of its divisors is an integer number (52164000).

Almost surely, 2^312912321 is an apocalyptic number.

It is an amenable number.

312912321 is a deficient number, since it is larger than the sum of its proper divisors (104399679).

312912321 is a wasteful number, since it uses less digits than its factorization.

312912321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895.

The product of its digits is 648, while the sum is 24.

The square root of 312912321 is about 17689.3278843488. The cubic root of 312912321 is about 678.9027293507.

The spelling of 312912321 in words is "three hundred twelve million, nine hundred twelve thousand, three hundred twenty-one".