225836 has 24 divisors (see below), whose sum is σ = 439824. Its totient is φ = 100800.

The previous prime is 225829. The next prime is 225839. The reversal of 225836 is 638522.

225836 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2⁴ + 2¹⁵ + 8² + 5⁶ + 3¹¹ + 6³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225836.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2186 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (18326).

2²²⁵⁸³⁶ is an apocalyptic number.

225836 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225836 is a deficient number, since it is larger than the sum of its proper divisors (213988).

225836 is a wasteful number, since it uses less digits than its factorization.

225836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 225836 is about 475.2220533603. Note that the first 3 decimals coincide. The cubic root of 225836 is about 60.8972560493.

Subtracting 225836 from its reverse (638522), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 225836 in words is "two hundred twenty-five thousand, eight hundred thirty-six".