231993 has 12 divisors (see below), whose sum is σ = 339300. Its totient is φ = 152736.

The previous prime is 231967. The next prime is 232003. The reversal of 231993 is 399132.

231993 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 121104 + 110889 = 348^2 + 333^2 .

It is not a de Polignac number, because 231993 - 2⁵ = 231961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (231923) 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, 1255 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (28275).

2²³¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

231993 is a deficient number, since it is larger than the sum of its proper divisors (107307).

231993 is a wasteful number, since it uses less digits than its factorization.

231993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 231993 is about 481.6565166174. The cubic root of 231993 is about 61.4457185127.

It can be divided in two parts, 23 and 1993, that added together give a triangular number (2016 = T₆₃).

The spelling of 231993 in words is "two hundred thirty-one thousand, nine hundred ninety-three".