208729 has 2 divisors, whose sum is σ = 208730. Its totient is φ = 208728.

The previous prime is 208721. The next prime is 208739. The reversal of 208729 is 927802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 15129 = 440^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 208729 - 2³ = 208721 is a prime.

208729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 208697 and 208706.

It is not a weakly prime, because it can be changed into another prime (208721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104364 + 104365.

It is an arithmetic number, because the mean of its divisors is an integer number (104365).

2²⁰⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

208729 is a deficient number, since it is larger than the sum of its proper divisors (1).

208729 is an equidigital number, since it uses as much as digits as its factorization.

208729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 208729 is about 456.8686901069. The cubic root of 208729 is about 59.3190605179.

It can be divided in two parts, 2087 and 29, that added together give a square (2116 = 46²).

The spelling of 208729 in words is "two hundred eight thousand, seven hundred twenty-nine".