208576993 has 2 divisors, whose sum is σ = 208576994. Its totient is φ = 208576992.

The previous prime is 208576969. The next prime is 208576997. The reversal of 208576993 is 399675802.

208576993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203433169 + 5143824 = 14263^2 + 2268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-208576993 is a prime.

It is not a weakly prime, because it can be changed into another prime (208576997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104288496 + 104288497.

It is an arithmetic number, because the mean of its divisors is an integer number (104288497).

Almost surely, 2^208576993 is an apocalyptic number.

It is an amenable number.

208576993 is a deficient number, since it is larger than the sum of its proper divisors (1).

208576993 is an equidigital number, since it uses as much as digits as its factorization.

208576993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 208576993 is about 14442.1948816653. The cubic root of 208576993 is about 593.0465730896.

The spelling of 208576993 in words is "two hundred eight million, five hundred seventy-six thousand, nine hundred ninety-three".