225096 has 32 divisors (see below), whose sum is σ = 574560. Its totient is φ = 73472.

The previous prime is 225089. The next prime is 225109. The reversal of 225096 is 690522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1936 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2²²⁵⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

225096 is an abundant number, since it is smaller than the sum of its proper divisors (349464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225096 is a wasteful number, since it uses less digits than its factorization.

225096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 225096 is about 474.4428311188. The cubic root of 225096 is about 60.8306689686.

It can be divided in two parts, 2250 and 96, that multiplied together give a cube (216000 = 60³).

The spelling of 225096 in words is "two hundred twenty-five thousand, ninety-six".