312414213 has 8 divisors (see below), whose sum is σ = 420445728. Its totient is φ = 206329424.

The previous prime is 312414209. The next prime is 312414227.

312414213 is nontrivially palindromic in base 10.

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 312414213 - 2² = 312414209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312414213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312414203) 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 7 ways as a sum of consecutive naturals, for example, 486306 + ... + 486947.

It is an arithmetic number, because the mean of its divisors is an integer number (52555716).

Almost surely, 2^312414213 is an apocalyptic number.

It is an amenable number.

312414213 is a deficient number, since it is larger than the sum of its proper divisors (108031515).

312414213 is a wasteful number, since it uses less digits than its factorization.

312414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973363.

The product of its digits is 576, while the sum is 21.

The square root of 312414213 is about 17675.2429403389. The cubic root of 312414213 is about 678.5423020006.

The spelling of 312414213 in words is "three hundred twelve million, four hundred fourteen thousand, two hundred thirteen".