208001249 has 2 divisors, whose sum is σ = 208001250. Its totient is φ = 208001248.

The previous prime is 208001231. The next prime is 208001257. The reversal of 208001249 is 942100802.

208001249 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., 152349649 + 55651600 = 12343^2 + 7460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-208001249 is a prime.

It is a super-3 number, since 3×208001249³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208001219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104000624 + 104000625.

It is an arithmetic number, because the mean of its divisors is an integer number (104000625).

Almost surely, 2^208001249 is an apocalyptic number.

It is an amenable number.

208001249 is a deficient number, since it is larger than the sum of its proper divisors (1).

208001249 is an equidigital number, since it uses as much as digits as its factorization.

208001249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 208001249 is about 14422.2484030750. The cubic root of 208001249 is about 592.5003996270.

The spelling of 208001249 in words is "two hundred eight million, one thousand, two hundred forty-nine".