32226 has 16 divisors (see below), whose sum is σ = 66528. Its totient is φ = 10400.

The previous prime is 32213. The next prime is 32233. The reversal of 32226 is 62223.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32226.

It is an unprimeable number.

32226 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 7 ways as a sum of consecutive naturals, for example, 181 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2³²²²⁶ is an apocalyptic number.

32226 is an abundant number, since it is smaller than the sum of its proper divisors (34302).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

32226 is a wasteful number, since it uses less digits than its factorization.

32226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177.

The product of its digits is 144, while the sum is 15.

The square root of 32226 is about 179.5160159986. The cubic root of 32226 is about 31.8225859086.

Adding to 32226 its reverse (62223), we get a palindrome (94449).

The spelling of 32226 in words is "thirty-two thousand, two hundred twenty-six".