225617 has 8 divisors (see below), whose sum is σ = 260736. Its totient is φ = 191232.

The previous prime is 225613. The next prime is 225619. The reversal of 225617 is 716522.

225617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225617 - 2² = 225613 is a prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 225592 and 225601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (32592).

2²²⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

225617 is a deficient number, since it is larger than the sum of its proper divisors (35119).

225617 is a wasteful number, since it uses less digits than its factorization.

225617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its digits is 840, while the sum is 23.

The square root of 225617 is about 474.9915788727. The cubic root of 225617 is about 60.8775650459.

The spelling of 225617 in words is "two hundred twenty-five thousand, six hundred seventeen".