208249 has 8 divisors (see below), whose sum is σ = 221760. Its totient is φ = 195216.

The previous prime is 208231. The next prime is 208253. The reversal of 208249 is 942802.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 208249 - 2⁵ = 208217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208279) 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 in 7 ways as a sum of consecutive naturals, for example, 1164 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2²⁰⁸²⁴⁹ is an apocalyptic number.

208249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

208249 is a deficient number, since it is larger than the sum of its proper divisors (13511).

208249 is a wasteful number, since it uses less digits than its factorization.

208249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 208249 is about 456.3430726986. The cubic root of 208249 is about 59.2735549374.

The spelling of 208249 in words is "two hundred eight thousand, two hundred forty-nine".