137312597 has 2 divisors, whose sum is σ = 137312598. Its totient is φ = 137312596.

The previous prime is 137312551. The next prime is 137312611. The reversal of 137312597 is 795213731.

137312597 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., 80174116 + 57138481 = 8954^2 + 7559^2 .

It is a cyclic number.

It is not a de Polignac number, because 137312597 - 2⁶ = 137312533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137312597.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137312537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68656298 + 68656299.

It is an arithmetic number, because the mean of its divisors is an integer number (68656299).

Almost surely, 2^137312597 is an apocalyptic number.

It is an amenable number.

137312597 is a deficient number, since it is larger than the sum of its proper divisors (1).

137312597 is an equidigital number, since it uses as much as digits as its factorization.

137312597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39690, while the sum is 38.

The square root of 137312597 is about 11718.0457841741. The cubic root of 137312597 is about 515.9054633712.

The spelling of 137312597 in words is "one hundred thirty-seven million, three hundred twelve thousand, five hundred ninety-seven".