138829 has 2 divisors, whose sum is σ = 138830. Its totient is φ = 138828.

The previous prime is 138821. The next prime is 138841. The reversal of 138829 is 928831.

138829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 29929 = 330^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 138829 - 2³ = 138821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69414 + 69415.

It is an arithmetic number, because the mean of its divisors is an integer number (69415).

2¹³⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

138829 is a deficient number, since it is larger than the sum of its proper divisors (1).

138829 is an equidigital number, since it uses as much as digits as its factorization.

138829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 31.

The square root of 138829 is about 372.5976382104. The cubic root of 138829 is about 51.7797638143.

The spelling of 138829 in words is "one hundred thirty-eight thousand, eight hundred twenty-nine".