186225 has 24 divisors (see below), whose sum is σ = 333312. Its totient is φ = 91200.

The previous prime is 186211. The next prime is 186227. The reversal of 186225 is 522681.

It is not a de Polignac number, because 186225 - 2⁶ = 186161 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 186195 and 186204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 880 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2¹⁸⁶²²⁵ is an apocalyptic number.

186225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

186225 is a deficient number, since it is larger than the sum of its proper divisors (147087).

186225 is a wasteful number, since it uses less digits than its factorization.

186225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

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

The square root of 186225 is about 431.5379473465. The cubic root of 186225 is about 57.1056826665.

The spelling of 186225 in words is "one hundred eighty-six thousand, two hundred twenty-five".