231205 has 8 divisors (see below), whose sum is σ = 298872. Its totient is φ = 170688.

The previous prime is 231197. The next prime is 231223. The reversal of 231205 is 502132.

231205 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 1764 + 229441 = 42^2 + 479^2 .

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 231205 - 2³ = 231197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714 + ... + 1843.

It is an arithmetic number, because the mean of its divisors is an integer number (37359).

2²³¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

231205 is a deficient number, since it is larger than the sum of its proper divisors (67667).

231205 is a wasteful number, since it uses less digits than its factorization.

231205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 231205 is about 480.8378104933. The cubic root of 231205 is about 61.3760696426.

Adding to 231205 its reverse (502132), we get a palindrome (733337).

It can be divided in two parts, 23120 and 5, that multiplied together give a square (115600 = 340²).

The spelling of 231205 in words is "two hundred thirty-one thousand, two hundred five".