225009 has 12 divisors (see below), whose sum is σ = 339456. Its totient is φ = 143352.

The previous prime is 224993. The next prime is 225023. The reversal of 225009 is 900522.

It is not a de Polignac number, because 225009 - 2⁴ = 224993 is a prime.

It is a Curzon number.

225009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 224982 and 225000.

It is not an unprimeable number, because it can be changed into a prime (225079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (28288).

2²²⁵⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

225009 is a deficient number, since it is larger than the sum of its proper divisors (114447).

225009 is a wasteful number, since it uses less digits than its factorization.

225009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 225009 is about 474.3511357634. The cubic root of 225009 is about 60.8228309052.

It can be divided in two parts, 22500 and 9, that multiplied together give a square (202500 = 450²).

The spelling of 225009 in words is "two hundred twenty-five thousand, nine".