189729 has 8 divisors (see below), whose sum is σ = 281120. Its totient is φ = 126468.

The previous prime is 189713. The next prime is 189733. The reversal of 189729 is 927981.

It is a happy number.

It is not a de Polignac number, because 189729 - 2⁴ = 189713 is a prime.

It is a Duffinian number.

189729 is a modest number, since divided by 729 gives 189 as remainder.

It is a Curzon number.

189729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 189693 and 189702.

It is not an unprimeable number, because it can be changed into a prime (189799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3487 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (35140).

2¹⁸⁹⁷²⁹ is an apocalyptic number.

It is an amenable number.

189729 is a deficient number, since it is larger than the sum of its proper divisors (91391).

189729 is an equidigital number, since it uses as much as digits as its factorization.

189729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7030 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 189729 is about 435.5789251100. The cubic root of 189729 is about 57.4616253086.

It can be divided in two parts, 18972 and 9, that added together give a palindrome (18981).

The spelling of 189729 in words is "one hundred eighty-nine thousand, seven hundred twenty-nine".