138617 has 2 divisors, whose sum is σ = 138618. Its totient is φ = 138616.

The previous prime is 138599. The next prime is 138629. The reversal of 138617 is 716831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 11881 = 356^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 138617 - 2¹⁰ = 137593 is a prime.

It is a super-3 number, since 3×138617³ = 7990440852393339, which contains 333 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138617.

It is not a weakly prime, because it can be changed into another prime (138637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69308 + 69309.

It is an arithmetic number, because the mean of its divisors is an integer number (69309).

2¹³⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

138617 is a deficient number, since it is larger than the sum of its proper divisors (1).

138617 is an equidigital number, since it uses as much as digits as its factorization.

138617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 26.

The square root of 138617 is about 372.3130403303. The cubic root of 138617 is about 51.7533934778.

The spelling of 138617 in words is "one hundred thirty-eight thousand, six hundred seventeen".