206749 has 2 divisors, whose sum is σ = 206750. Its totient is φ = 206748.

The previous prime is 206699. The next prime is 206779. The reversal of 206749 is 947602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105625 + 101124 = 325^2 + 318^2 .

It is a cyclic number.

It is not a de Polignac number, because 206749 - 2⁹ = 206237 is a prime.

It is a Chen prime.

206749 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (206779) 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 as a sum of consecutive naturals, namely, 103374 + 103375.

It is an arithmetic number, because the mean of its divisors is an integer number (103375).

2²⁰⁶⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

206749 is a deficient number, since it is larger than the sum of its proper divisors (1).

206749 is an equidigital number, since it uses as much as digits as its factorization.

206749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 206749 is about 454.6966021426. The cubic root of 206749 is about 59.1308977306.

It can be divided in two parts, 2067 and 49, that added together give a square (2116 = 46²).

The spelling of 206749 in words is "two hundred six thousand, seven hundred forty-nine".