137371697 has 2 divisors, whose sum is σ = 137371698. Its totient is φ = 137371696.

The previous prime is 137371693. The next prime is 137371699. The reversal of 137371697 is 796173731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69622336 + 67749361 = 8344^2 + 8231^2 .

It is an emirp because it is prime and its reverse (796173731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137371697 - 2² = 137371693 is a prime.

Together with 137371699, 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 (137371693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68685848 + 68685849.

It is an arithmetic number, because the mean of its divisors is an integer number (68685849).

Almost surely, 2^137371697 is an apocalyptic number.

It is an amenable number.

137371697 is a deficient number, since it is larger than the sum of its proper divisors (1).

137371697 is an equidigital number, since it uses as much as digits as its factorization.

137371697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 166698, while the sum is 44.

The square root of 137371697 is about 11720.5672644288. The cubic root of 137371697 is about 515.9794688163.

The spelling of 137371697 in words is "one hundred thirty-seven million, three hundred seventy-one thousand, six hundred ninety-seven".