312345413 has 2 divisors, whose sum is σ = 312345414. Its totient is φ = 312345412.

The previous prime is 312345361. The next prime is 312345419. The reversal of 312345413 is 314543213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183250369 + 129095044 = 13537^2 + 11362^2 .

It is an emirp because it is prime and its reverse (314543213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312345413 - 2²⁰ = 311296837 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312345419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156172706 + 156172707.

It is an arithmetic number, because the mean of its divisors is an integer number (156172707).

Almost surely, 2^312345413 is an apocalyptic number.

It is an amenable number.

312345413 is a deficient number, since it is larger than the sum of its proper divisors (1).

312345413 is an equidigital number, since it uses as much as digits as its factorization.

312345413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 26.

The square root of 312345413 is about 17673.2966081600. The cubic root of 312345413 is about 678.4924887124.

Adding to 312345413 its reverse (314543213), we get a palindrome (626888626).

The spelling of 312345413 in words is "three hundred twelve million, three hundred forty-five thousand, four hundred thirteen".