225509 has 2 divisors, whose sum is σ = 225510. Its totient is φ = 225508.

The previous prime is 225503. The next prime is 225523. The reversal of 225509 is 905522.

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., 148225 + 77284 = 385^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 225509 - 2⁴ = 225493 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225509.

It is not a weakly prime, because it can be changed into another prime (225503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112754 + 112755.

It is an arithmetic number, because the mean of its divisors is an integer number (112755).

2²²⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

225509 is a deficient number, since it is larger than the sum of its proper divisors (1).

225509 is an equidigital number, since it uses as much as digits as its factorization.

225509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 225509 is about 474.8778790384. The cubic root of 225509 is about 60.8678497224.

The spelling of 225509 in words is "two hundred twenty-five thousand, five hundred nine".