189125 has 16 divisors (see below), whose sum is σ = 252720. Its totient is φ = 140800.

The previous prime is 189067. The next prime is 189127. The reversal of 189125 is 521981.

189125 = 5³ + 6³ + ... + 29³.

It is a happy number.

189125 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 8 ways, for example, as 64516 + 124609 = 254^2 + 353^2 .

It is not a de Polignac number, because 189125 - 2⁶ = 189061 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 189094 and 189103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹⁸⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

189125 is a deficient number, since it is larger than the sum of its proper divisors (63595).

189125 is an equidigital number, since it uses as much as digits as its factorization.

189125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 720, while the sum is 26.

The square root of 189125 is about 434.8850422813. The cubic root of 189125 is about 57.4005843563.

The spelling of 189125 in words is "one hundred eighty-nine thousand, one hundred twenty-five".