208949 has 4 divisors (see below), whose sum is σ = 225036. Its totient is φ = 192864.

The previous prime is 208933. The next prime is 208961. The reversal of 208949 is 949802.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34225 + 174724 = 185^2 + 418^2 .

It is a cyclic number.

It is not a de Polignac number, because 208949 - 2⁴ = 208933 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8024 + ... + 8049.

It is an arithmetic number, because the mean of its divisors is an integer number (56259).

2²⁰⁸⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

208949 is a deficient number, since it is larger than the sum of its proper divisors (16087).

208949 is a wasteful number, since it uses less digits than its factorization.

208949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 208949 is about 457.1093960968. The cubic root of 208949 is about 59.3398939287.

Adding to 208949 its sum of digits (32), we get a triangular number (208981 = T₆₄₆).

The spelling of 208949 in words is "two hundred eight thousand, nine hundred forty-nine".