225709 has 12 divisors (see below), whose sum is σ = 265248. Its totient is φ = 190400.

The previous prime is 225697. The next prime is 225721. The reversal of 225709 is 907522.

It is an interprime number because it is at equal distance from previous prime (225697) and next prime (225721).

It is not a de Polignac number, because 225709 - 2⁷ = 225581 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225749) 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 in 11 ways as a sum of consecutive naturals, for example, 3144 + ... + 3214.

It is an arithmetic number, because the mean of its divisors is an integer number (22104).

2²²⁵⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

225709 is a deficient number, since it is larger than the sum of its proper divisors (39539).

225709 is a wasteful number, since it uses less digits than its factorization.

225709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 225709 is about 475.0884128244. The cubic root of 225709 is about 60.8858386170.

The spelling of 225709 in words is "two hundred twenty-five thousand, seven hundred nine".