137312317 has 2 divisors, whose sum is σ = 137312318. Its totient is φ = 137312316.

The previous prime is 137312309. The next prime is 137312353. The reversal of 137312317 is 713213731.

137312317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131652676 + 5659641 = 11474^2 + 2379^2 .

It is an emirp because it is prime and its reverse (713213731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137312317 - 2³ = 137312309 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 (137312387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68656158 + 68656159.

It is an arithmetic number, because the mean of its divisors is an integer number (68656159).

Almost surely, 2^137312317 is an apocalyptic number.

It is an amenable number.

137312317 is a deficient number, since it is larger than the sum of its proper divisors (1).

137312317 is an equidigital number, since it uses as much as digits as its factorization.

137312317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 28.

The square root of 137312317 is about 11718.0338367834. The cubic root of 137312317 is about 515.9051127027.

The spelling of 137312317 in words is "one hundred thirty-seven million, three hundred twelve thousand, three hundred seventeen".