208971 has 24 divisors (see below), whose sum is σ = 359424. Its totient is φ = 114480.

The previous prime is 208963. The next prime is 208991. The reversal of 208971 is 179802.

It is not a de Polignac number, because 208971 - 2³ = 208963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (14976).

2²⁰⁸⁹⁷¹ is an apocalyptic number.

208971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

208971 is a deficient number, since it is larger than the sum of its proper divisors (150453).

208971 is a wasteful number, since it uses less digits than its factorization.

208971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 208971 is about 457.1334597248. The cubic root of 208971 is about 59.3419764654.

The spelling of 208971 in words is "two hundred eight thousand, nine hundred seventy-one".