137097 has 6 divisors (see below), whose sum is σ = 198042. Its totient is φ = 91392.

The previous prime is 137089. The next prime is 137117. The reversal of 137097 is 790731.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 41616 = 309^2 + 204^2 .

It is not a de Polignac number, because 137097 - 2³ = 137089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137097.

It is not an unprimeable number, because it can be changed into a prime (137077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7608 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (33007).

2¹³⁷⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

137097 is a deficient number, since it is larger than the sum of its proper divisors (60945).

137097 is a wasteful number, since it uses less digits than its factorization.

137097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15239 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137097 is about 370.2661205133. The cubic root of 137097 is about 51.5635311089.

The spelling of 137097 in words is "one hundred thirty-seven thousand, ninety-seven".