208967 has 8 divisors (see below), whose sum is σ = 231312. Its totient is φ = 188760.

The previous prime is 208963. The next prime is 208991. The reversal of 208967 is 769802.

It is not a de Polignac number, because 208967 - 2² = 208963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (28914).

2²⁰⁸⁹⁶⁷ is an apocalyptic number.

208967 is a deficient number, since it is larger than the sum of its proper divisors (22345).

208967 is an equidigital number, since it uses as much as digits as its factorization.

208967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 208967 is about 457.1290846140. The cubic root of 208967 is about 59.3415978332.

The spelling of 208967 in words is "two hundred eight thousand, nine hundred sixty-seven".