412314137 has 2 divisors, whose sum is σ = 412314138. Its totient is φ = 412314136.

The previous prime is 412314103. The next prime is 412314139. The reversal of 412314137 is 731413214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217739536 + 194574601 = 14756^2 + 13949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412314137 is a prime.

Together with 412314139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (412314139) 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 as a sum of consecutive naturals, namely, 206157068 + 206157069.

It is an arithmetic number, because the mean of its divisors is an integer number (206157069).

Almost surely, 2^412314137 is an apocalyptic number.

It is an amenable number.

412314137 is a deficient number, since it is larger than the sum of its proper divisors (1).

412314137 is an equidigital number, since it uses as much as digits as its factorization.

412314137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 412314137 is about 20305.5198652977. The cubic root of 412314137 is about 744.2909560982.

The spelling of 412314137 in words is "four hundred twelve million, three hundred fourteen thousand, one hundred thirty-seven".