138793 has 2 divisors, whose sum is σ = 138794. Its totient is φ = 138792.

The previous prime is 138763. The next prime is 138797. The reversal of 138793 is 397831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 17689 = 348^2 + 133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-138793 is a prime.

It is not a weakly prime, because it can be changed into another prime (138797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69396 + 69397.

It is an arithmetic number, because the mean of its divisors is an integer number (69397).

2¹³⁸⁷⁹³ is an apocalyptic number.

It is an amenable number.

138793 is a deficient number, since it is larger than the sum of its proper divisors (1).

138793 is an equidigital number, since it uses as much as digits as its factorization.

138793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 138793 is about 372.5493255933. The cubic root of 138793 is about 51.7752877259.

The spelling of 138793 in words is "one hundred thirty-eight thousand, seven hundred ninety-three".