208849 has 3 divisors (see below), whose sum is σ = 209307. Its totient is φ = 208392.

The previous prime is 208843. The next prime is 208877. The reversal of 208849 is 948802.

208849 = T_{456} + T_{457}.

The square root of 208849 is 457.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 180625 + 28224 = 425^2 + 168^2 .

It is not a de Polignac number, because 208849 - 2^{7} = 208721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 208849.

It is not an unprimeable number, because it can be changed into a prime (208843) 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 2 ways as a sum of consecutive naturals, for example, 229 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (69769).

2^{208849} is an apocalyptic number.

208849 is the 457-th square number.

208849 is the 229-th centered octagonal number.

It is an amenable number.

208849 is a deficient number, since it is larger than the sum of its proper divisors (458).

208849 is an frugal number, since it uses more digits than its factorization.

208849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 208849 is about 59.3304260102.

The spelling of 208849 in words is "two hundred eight thousand, eight hundred forty-nine".

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