225258 has 16 divisors (see below), whose sum is σ = 491616. Its totient is φ = 68240.

The previous prime is 225257. The next prime is 225263. The reversal of 225258 is 852522.

225258 is nontrivially palindromic in base 13.

It is not an unprimeable number, because it can be changed into a prime (225257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1641 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (30726).

2²²⁵²⁵⁸ is an apocalyptic number.

225258 is an abundant number, since it is smaller than the sum of its proper divisors (266358).

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

225258 is a wasteful number, since it uses less digits than its factorization.

225258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429.

The product of its digits is 1600, while the sum is 24.

The square root of 225258 is about 474.6135269880. The cubic root of 225258 is about 60.8452586033.

Subtracting 225258 from its reverse (852522), we obtain a square (627264 = 792²).

The spelling of 225258 in words is "two hundred twenty-five thousand, two hundred fifty-eight".