225786 has 24 divisors (see below), whose sum is σ = 497952. Its totient is φ = 68200.

The previous prime is 225781. The next prime is 225809. The reversal of 225786 is 687522.

225786 = 49² + 50² + ... + 92².

It is not an unprimeable number, because it can be changed into a prime (225781) by changing a digit.

225786 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 11 ways as a sum of consecutive naturals, for example, 571 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²²⁵⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976).

225786 is an abundant number, since it is smaller than the sum of its proper divisors (272166).

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

225786 is a wasteful number, since it uses less digits than its factorization.

225786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 225786 is about 475.1694434620. The cubic root of 225786 is about 60.8927615082.

The spelling of 225786 in words is "two hundred twenty-five thousand, seven hundred eighty-six".