254209 has 2 divisors, whose sum is σ = 254210. Its totient is φ = 254208.

The previous prime is 254207. The next prime is 254213. The reversal of 254209 is 902452.

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., 129600 + 124609 = 360^2 + 353^2 .

It is a cyclic number.

It is not a de Polignac number, because 254209 - 2¹ = 254207 is a prime.

Together with 254207, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 254209.

It is not a weakly prime, because it can be changed into another prime (254207) 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, 127104 + 127105.

It is an arithmetic number, because the mean of its divisors is an integer number (127105).

2²⁵⁴²⁰⁹ is an apocalyptic number.

It is an amenable number.

254209 is a deficient number, since it is larger than the sum of its proper divisors (1).

254209 is an equidigital number, since it uses as much as digits as its factorization.

254209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 254209 is about 504.1914318986. The cubic root of 254209 is about 63.3476206610.

The spelling of 254209 in words is "two hundred fifty-four thousand, two hundred nine".