208667 has 2 divisors, whose sum is σ = 208668. Its totient is φ = 208666.

The previous prime is 208657. The next prime is 208673. The reversal of 208667 is 766802.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 208667 - 2¹⁰ = 207643 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208627) 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, 104333 + 104334.

It is an arithmetic number, because the mean of its divisors is an integer number (104334).

2²⁰⁸⁶⁶⁷ is an apocalyptic number.

208667 is a deficient number, since it is larger than the sum of its proper divisors (1).

208667 is an equidigital number, since it uses as much as digits as its factorization.

208667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 208667 is about 456.8008318731. The cubic root of 208667 is about 59.3131866400.

The spelling of 208667 in words is "two hundred eight thousand, six hundred sixty-seven".