137316617 has 2 divisors, whose sum is σ = 137316618. Its totient is φ = 137316616.

The previous prime is 137316589. The next prime is 137316643. The reversal of 137316617 is 716613731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128958736 + 8357881 = 11356^2 + 2891^2 .

It is an emirp because it is prime and its reverse (716613731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137316617 - 2¹⁰ = 137315593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137316677) 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 as a sum of consecutive naturals, namely, 68658308 + 68658309.

It is an arithmetic number, because the mean of its divisors is an integer number (68658309).

Almost surely, 2^137316617 is an apocalyptic number.

It is an amenable number.

137316617 is a deficient number, since it is larger than the sum of its proper divisors (1).

137316617 is an equidigital number, since it uses as much as digits as its factorization.

137316617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 35.

The square root of 137316617 is about 11718.2173132264. The cubic root of 137316617 is about 515.9104979171.

The spelling of 137316617 in words is "one hundred thirty-seven million, three hundred sixteen thousand, six hundred seventeen".