138517 has 2 divisors, whose sum is σ = 138518. Its totient is φ = 138516.

The previous prime is 138511. The next prime is 138547. The reversal of 138517 is 715831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108241 + 30276 = 329^2 + 174^2 .

It is a cyclic number.

It is not a de Polignac number, because 138517 - 2⁷ = 138389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138491 and 138500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69258 + 69259.

It is an arithmetic number, because the mean of its divisors is an integer number (69259).

2¹³⁸⁵¹⁷ is an apocalyptic number.

It is an amenable number.

138517 is a deficient number, since it is larger than the sum of its proper divisors (1).

138517 is an equidigital number, since it uses as much as digits as its factorization.

138517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840, while the sum is 25.

The square root of 138517 is about 372.1787205094. The cubic root of 138517 is about 51.7409453068.

The spelling of 138517 in words is "one hundred thirty-eight thousand, five hundred seventeen".