225537 has 8 divisors (see below), whose sum is σ = 323904. Its totient is φ = 138768.

The previous prime is 225529. The next prime is 225569. The reversal of 225537 is 735522.

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

It is not a de Polignac number, because 225537 - 2³ = 225529 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225537.

It is not an unprimeable number, because it can be changed into a prime (225527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (40488).

2²²⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

225537 is a deficient number, since it is larger than the sum of its proper divisors (98367).

225537 is a wasteful number, since it uses less digits than its factorization.

225537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799.

The product of its digits is 2100, while the sum is 24.

The square root of 225537 is about 474.9073593871. The cubic root of 225537 is about 60.8703688078.

The spelling of 225537 in words is "two hundred twenty-five thousand, five hundred thirty-seven".