312412289 has 24 divisors (see below), whose sum is σ = 382089600. Its totient is φ = 254852136.

The previous prime is 312412279. The next prime is 312412301. The reversal of 312412289 is 982214213.

It is not a de Polignac number, because 312412289 - 2¹² = 312408193 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569812 + ... + 1570010.

It is an arithmetic number, because the mean of its divisors is an integer number (15920400).

Almost surely, 2^312412289 is an apocalyptic number.

It is an amenable number.

312412289 is a deficient number, since it is larger than the sum of its proper divisors (69677311).

312412289 is an frugal number, since it uses more digits than its factorization.

312412289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 229 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 312412289 is about 17675.1885138462. The cubic root of 312412289 is about 678.5409090656.

The spelling of 312412289 in words is "three hundred twelve million, four hundred twelve thousand, two hundred eighty-nine".