225965 has 8 divisors (see below), whose sum is σ = 277728. Its totient is φ = 176400.

The previous prime is 225961. The next prime is 225977. The reversal of 225965 is 569522.

225965 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 225965 - 2² = 225961 is a prime.

It is a Duffinian number.

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 225965.

It is not an unprimeable number, because it can be changed into a prime (225961) 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 7 ways as a sum of consecutive naturals, for example, 311 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (34716).

2²²⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

225965 is a deficient number, since it is larger than the sum of its proper divisors (51763).

225965 is a wasteful number, since it uses less digits than its factorization.

225965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

The product of its digits is 5400, while the sum is 29.

The square root of 225965 is about 475.3577600082. The cubic root of 225965 is about 60.9088489024.

The spelling of 225965 in words is "two hundred twenty-five thousand, nine hundred sixty-five".