208947 has 12 divisors (see below), whose sum is σ = 297176. Its totient is φ = 130560.

The previous prime is 208933. The next prime is 208961. The reversal of 208947 is 749802.

208947 is nontrivially palindromic in base 2, base 4 and base 16.

It is an interprime number because it is at equal distance from previous prime (208933) and next prime (208961).

It is not a de Polignac number, because 208947 - 2⁴ = 208931 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208947.

It is not an unprimeable number, because it can be changed into a prime (208907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747 + ... + 987.

2²⁰⁸⁹⁴⁷ is an apocalyptic number.

208947 is a deficient number, since it is larger than the sum of its proper divisors (88229).

208947 is a wasteful number, since it uses less digits than its factorization.

208947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 208947 is about 457.1072084315. The cubic root of 208947 is about 59.3397045999.

The spelling of 208947 in words is "two hundred eight thousand, nine hundred forty-seven".