137917 has 6 divisors (see below), whose sum is σ = 149982. Its totient is φ = 126072.

The previous prime is 137911. The next prime is 137927. The reversal of 137917 is 719731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 42436 = 309^2 + 206^2 .

It is not a de Polignac number, because 137917 - 2³ = 137909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137911) 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, 1288 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (24997).

2¹³⁷⁹¹⁷ is an apocalyptic number.

It is an amenable number.

137917 is a deficient number, since it is larger than the sum of its proper divisors (12065).

137917 is an equidigital number, since it uses as much as digits as its factorization.

137917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 116 counting only the distinct ones).

The product of its digits is 1323, while the sum is 28.

The square root of 137917 is about 371.3717813728. The cubic root of 137917 is about 51.6661301829. Note that the first 3 decimals are identical.

The spelling of 137917 in words is "one hundred thirty-seven thousand, nine hundred seventeen".