208609 has 2 divisors, whose sum is σ = 208610. Its totient is φ = 208608.

The previous prime is 208591. The next prime is 208627. The reversal of 208609 is 906802.

It is a balanced prime because it is at equal distance from previous prime (208591) and next prime (208627).

It can be written as a sum of positive squares in only one way, i.e., 138384 + 70225 = 372^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 208609 - 2⁵ = 208577 is a prime.

It is not a weakly prime, because it can be changed into another prime (208699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104304 + 104305.

It is an arithmetic number, because the mean of its divisors is an integer number (104305).

2²⁰⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

208609 is a deficient number, since it is larger than the sum of its proper divisors (1).

208609 is an equidigital number, since it uses as much as digits as its factorization.

208609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 208609 is about 456.7373424628. The cubic root of 208609 is about 59.3076906686.

The spelling of 208609 in words is "two hundred eight thousand, six hundred nine".