137700317 has 2 divisors, whose sum is σ = 137700318. Its totient is φ = 137700316.

The previous prime is 137700253. The next prime is 137700337. The reversal of 137700317 is 713007731.

It is a happy number.

137700317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108388921 + 29311396 = 10411^2 + 5414^2 .

It is an emirp because it is prime and its reverse (713007731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137700317 - 2⁶ = 137700253 is a prime.

It is a super-2 number, since 2×137700317² = 37922754603800978, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137700317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137700337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68850158 + 68850159.

It is an arithmetic number, because the mean of its divisors is an integer number (68850159).

Almost surely, 2^137700317 is an apocalyptic number.

It is an amenable number.

137700317 is a deficient number, since it is larger than the sum of its proper divisors (1).

137700317 is an equidigital number, since it uses as much as digits as its factorization.

137700317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3087, while the sum is 29.

The square root of 137700317 is about 11734.5778364626. The cubic root of 137700317 is about 516.3905824792.

The spelling of 137700317 in words is "one hundred thirty-seven million, seven hundred thousand, three hundred seventeen".