231829 has 8 divisors (see below), whose sum is σ = 264600. Its totient is φ = 201216.

The previous prime is 231827. The next prime is 231839. The reversal of 231829 is 928132.

231829 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 70225 + 161604 = 265^2 + 402^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 231829 - 2¹ = 231827 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231821) 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, 304 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2²³¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

231829 is a deficient number, since it is larger than the sum of its proper divisors (32771).

231829 is a wasteful number, since it uses less digits than its factorization.

231829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its digits is 864, while the sum is 25.

The square root of 231829 is about 481.4862407172. The cubic root of 231829 is about 61.4312360739.

The spelling of 231829 in words is "two hundred thirty-one thousand, eight hundred twenty-nine".