312404381 has 2 divisors, whose sum is σ = 312404382. Its totient is φ = 312404380.

The previous prime is 312404321. The next prime is 312404383. The reversal of 312404381 is 183404213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296872900 + 15531481 = 17230^2 + 3941^2 .

It is a cyclic number.

It is not a de Polignac number, because 312404381 - 2²⁶ = 245295517 is a prime.

It is a super-2 number, since 2×312404381² = 195192994535986322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 312404383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312404381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312404383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156202190 + 156202191.

It is an arithmetic number, because the mean of its divisors is an integer number (156202191).

Almost surely, 2^312404381 is an apocalyptic number.

It is an amenable number.

312404381 is a deficient number, since it is larger than the sum of its proper divisors (1).

312404381 is an equidigital number, since it uses as much as digits as its factorization.

312404381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 312404381 is about 17674.9648090173. The cubic root of 312404381 is about 678.5351837821.

Adding to 312404381 its reverse (183404213), we get a palindrome (495808594).

The spelling of 312404381 in words is "three hundred twelve million, four hundred four thousand, three hundred eighty-one".