185226 has 8 divisors (see below), whose sum is σ = 370464. Its totient is φ = 61740.

The previous prime is 185221. The next prime is 185233. The reversal of 185226 is 622581.

185226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

185226 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 185196 and 185205.

It is not an unprimeable number, because it can be changed into a prime (185221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15430 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (46308).

2¹⁸⁵²²⁶ is an apocalyptic number.

185226 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

185226 is a wasteful number, since it uses less digits than its factorization.

185226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876.

The product of its digits is 960, while the sum is 24.

The square root of 185226 is about 430.3789028287. The cubic root of 185226 is about 57.0033854560.

It can be divided in two parts, 18522 and 6, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 185226 in words is "one hundred eighty-five thousand, two hundred twenty-six".