137257717 has 2 divisors, whose sum is σ = 137257718. Its totient is φ = 137257716.

The previous prime is 137257693. The next prime is 137257723. The reversal of 137257717 is 717752731.

It is a happy number.

137257717 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., 110124036 + 27133681 = 10494^2 + 5209^2 .

It is a cyclic number.

It is not a de Polignac number, because 137257717 - 2¹¹ = 137255669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137257717.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137257727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68628858 + 68628859.

It is an arithmetic number, because the mean of its divisors is an integer number (68628859).

Almost surely, 2^137257717 is an apocalyptic number.

It is an amenable number.

137257717 is a deficient number, since it is larger than the sum of its proper divisors (1).

137257717 is an equidigital number, since it uses as much as digits as its factorization.

137257717 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72030, while the sum is 40.

The square root of 137257717 is about 11715.7038627647. The cubic root of 137257717 is about 515.8367232234.

The spelling of 137257717 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, seven hundred seventeen".