189225 has 27 divisors (see below), whose sum is σ = 351013. Its totient is φ = 97440.

The previous prime is 189223. The next prime is 189229. The reversal of 189225 is 522981.

189225 = T₄₃₄ + T₄₃₅.

189225 = 1³ + 2³ + ... + 29³.

The square root of 189225 is 435.

It is a perfect power (a square), and thus also a powerful number.

189225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 186624 = 51^2 + 432^2 .

It is not a de Polignac number, because 189225 - 2¹ = 189223 is a prime.

It is a super-2 number, since 2×189225² = 71612201250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6511 + ... + 6539.

189225 is a Friedman number, since it can be written as (5*(89-2*1))^2, using all its digits and the basic arithmetic operations.

2¹⁸⁹²²⁵ is an apocalyptic number.

189225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189225 is the 435-th square number.

189225 is the 218-th centered octagonal number.

It is an amenable number.

189225 is a deficient number, since it is larger than the sum of its proper divisors (161788).

189225 is a wasteful number, since it uses less digits than its factorization.

189225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The cubic root of 189225 is about 57.4106994425.

It can be divided in two parts, 189 and 225, that added together give a palindrome (414).

The spelling of 189225 in words is "one hundred eighty-nine thousand, two hundred twenty-five".