225834 has 32 divisors (see below), whose sum is σ = 545280. Its totient is φ = 60912.

The previous prime is 225829. The next prime is 225839. The reversal of 225834 is 438522.

225834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225829) and next prime (225839).

It is a d-powerful number, because it can be written as 2 + 2¹⁷ + 8 + 5⁷ + 3⁵ + 4⁷ .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225839) by changing a digit.

225834 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (17040).

2²²⁵⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272640).

225834 is an abundant number, since it is smaller than the sum of its proper divisors (319446).

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

225834 is a wasteful number, since it uses less digits than its factorization.

225834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its digits is 1920, while the sum is 24.

The square root of 225834 is about 475.2199490762. The cubic root of 225834 is about 60.8970762804.

The spelling of 225834 in words is "two hundred twenty-five thousand, eight hundred thirty-four".