225953 has 12 divisors (see below), whose sum is σ = 281088. Its totient is φ = 177840.

The previous prime is 225949. The next prime is 225961. The reversal of 225953 is 359522.

225953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225953 - 2² = 225949 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225953.

It is not an unprimeable number, because it can be changed into a prime (225943) 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, 1088 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (23424).

2²²⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

225953 is a deficient number, since it is larger than the sum of its proper divisors (55135).

225953 is a wasteful number, since it uses less digits than its factorization.

225953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 225953 is about 475.3451377683. The cubic root of 225953 is about 60.9077706836.

The spelling of 225953 in words is "two hundred twenty-five thousand, nine hundred fifty-three".