225736 has 32 divisors (see below), whose sum is σ = 504000. Its totient is φ = 92736.

The previous prime is 225733. The next prime is 225749. The reversal of 225736 is 637522.

225736 = T₁₃₆ + T₁₃₇ + ... + T₁₅₆.

225736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 225736.

It is not an unprimeable number, because it can be changed into a prime (225733) 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, 1555 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2²²⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

225736 is an abundant number, since it is smaller than the sum of its proper divisors (278264).

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

225736 is a wasteful number, since it uses less digits than its factorization.

225736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 225736 is about 475.1168277382. The cubic root of 225736 is about 60.8882663035. Note that the first 3 decimals are identical.

It can be divided in two parts, 225 and 736, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 225736 in words is "two hundred twenty-five thousand, seven hundred thirty-six".