208129 has 2 divisors, whose sum is σ = 208130. Its totient is φ = 208128.

The previous prime is 208121. The next prime is 208139. The reversal of 208129 is 921802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 87025 = 348^2 + 295^2 .

It is a cyclic number.

It is not a de Polignac number, because 208129 - 2³ = 208121 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (208121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104064 + 104065.

It is an arithmetic number, because the mean of its divisors is an integer number (104065).

2²⁰⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

208129 is a deficient number, since it is larger than the sum of its proper divisors (1).

208129 is an equidigital number, since it uses as much as digits as its factorization.

208129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 208129 is about 456.2115737243. The cubic root of 208129 is about 59.2621676186.

The spelling of 208129 in words is "two hundred eight thousand, one hundred twenty-nine".