138797 has 2 divisors, whose sum is σ = 138798. Its totient is φ = 138796.

The previous prime is 138793. The next prime is 138799. The reversal of 138797 is 797831.

138797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137641 + 1156 = 371^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 138797 - 2² = 138793 is a prime.

Together with 138799, it forms a pair of twin primes.

It is a Chen prime.

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 138797.

It is not a weakly prime, because it can be changed into another prime (138793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69398 + 69399.

It is an arithmetic number, because the mean of its divisors is an integer number (69399).

2¹³⁸⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

138797 is a deficient number, since it is larger than the sum of its proper divisors (1).

138797 is an equidigital number, since it uses as much as digits as its factorization.

138797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 35.

The square root of 138797 is about 372.5546939712. The cubic root of 138797 is about 51.7757851073.

The spelling of 138797 in words is "one hundred thirty-eight thousand, seven hundred ninety-seven".