225966 has 16 divisors (see below), whose sum is σ = 486864. Its totient is φ = 69504.

The previous prime is 225961. The next prime is 225977. The reversal of 225966 is 669522.

225966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225961) by changing a digit.

225966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1371 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2²²⁵⁹⁶⁶ is an apocalyptic number.

225966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

225966 is an abundant number, since it is smaller than the sum of its proper divisors (260898).

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

225966 is a wasteful number, since it uses less digits than its factorization.

225966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915.

The product of its digits is 6480, while the sum is 30.

The square root of 225966 is about 475.3588118464. The cubic root of 225966 is about 60.9089387523.

Subtracting 225966 from its reverse (669522), we obtain a square (443556 = 666²).

The spelling of 225966 in words is "two hundred twenty-five thousand, nine hundred sixty-six".