208933 has 2 divisors, whose sum is σ = 208934. Its totient is φ = 208932.

The previous prime is 208931. The next prime is 208961. The reversal of 208933 is 339802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 66049 = 378^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 208933 - 2¹ = 208931 is a prime.

Together with 208931, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 208898 and 208907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104466 + 104467.

It is an arithmetic number, because the mean of its divisors is an integer number (104467).

2²⁰⁸⁹³³ is an apocalyptic number.

It is an amenable number.

208933 is a deficient number, since it is larger than the sum of its proper divisors (1).

208933 is an equidigital number, since it uses as much as digits as its factorization.

208933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 208933 is about 457.0918944807. The cubic root of 208933 is about 59.3383792648.

The spelling of 208933 in words is "two hundred eight thousand, nine hundred thirty-three".