138311 has 2 divisors, whose sum is σ = 138312. Its totient is φ = 138310.

The previous prime is 138289. The next prime is 138319. The reversal of 138311 is 113831.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 138311 - 2⁶ = 138247 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138311.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138311.

It is not a weakly prime, because it can be changed into another prime (138319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69155 + 69156.

It is an arithmetic number, because the mean of its divisors is an integer number (69156).

2¹³⁸³¹¹ is an apocalyptic number.

138311 is a deficient number, since it is larger than the sum of its proper divisors (1).

138311 is an equidigital number, since it uses as much as digits as its factorization.

138311 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 138311 is about 371.9018687772. The cubic root of 138311 is about 51.7152831790.

The spelling of 138311 in words is "one hundred thirty-eight thousand, three hundred eleven".