189765 has 12 divisors (see below), whose sum is σ = 329004. Its totient is φ = 101184.

The previous prime is 189757. The next prime is 189767. The reversal of 189765 is 567981.

189765 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 2 ways, for example, as 123201 + 66564 = 351^2 + 258^2 .

It is not a de Polignac number, because 189765 - 2³ = 189757 is a prime.

It is a Curzon number.

189765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (27417).

2¹⁸⁹⁷⁶⁵ is an apocalyptic number.

189765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189765 is a deficient number, since it is larger than the sum of its proper divisors (139239).

189765 is a wasteful number, since it uses less digits than its factorization.

189765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4225 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 189765 is about 435.6202474633. The cubic root of 189765 is about 57.4652594178.

It can be divided in two parts, 18976 and 5, that added together give a palindrome (18981).

The spelling of 189765 in words is "one hundred eighty-nine thousand, seven hundred sixty-five".