225536 has 18 divisors (see below), whose sum is σ = 450702. Its totient is φ = 112640.

The previous prime is 225529. The next prime is 225569. The reversal of 225536 is 635522.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 65536 = 400^2 + 256^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 185 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (25039).

2²²⁵⁵³⁶ is an apocalyptic number.

It is an amenable number.

225536 is a deficient number, since it is larger than the sum of its proper divisors (225166).

225536 is an frugal number, since it uses more digits than its factorization.

225536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 225536 is about 474.9063065490. The cubic root of 225536 is about 60.8702788440.

The spelling of 225536 in words is "two hundred twenty-five thousand, five hundred thirty-six".