137097241 has 2 divisors, whose sum is σ = 137097242. Its totient is φ = 137097240.

The previous prime is 137097199. The next prime is 137097253. The reversal of 137097241 is 142790731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81072016 + 56025225 = 9004^2 + 7485^2 .

It is a cyclic number.

It is not a de Polignac number, because 137097241 - 2¹³ = 137089049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137097197 and 137097206.

It is not a weakly prime, because it can be changed into another prime (137097341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68548620 + 68548621.

It is an arithmetic number, because the mean of its divisors is an integer number (68548621).

Almost surely, 2^137097241 is an apocalyptic number.

It is an amenable number.

137097241 is a deficient number, since it is larger than the sum of its proper divisors (1).

137097241 is an equidigital number, since it uses as much as digits as its factorization.

137097241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 137097241 is about 11708.8531035281. The cubic root of 137097241 is about 515.6356132300.

The spelling of 137097241 in words is "one hundred thirty-seven million, ninety-seven thousand, two hundred forty-one".