231948 has 36 divisors (see below), whose sum is σ = 622440. Its totient is φ = 72576.

The previous prime is 231947. The next prime is 231961. The reversal of 231948 is 849132.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 231948.

It is not an unprimeable number, because it can be changed into a prime (231943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2²³¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

231948 is an abundant number, since it is smaller than the sum of its proper divisors (390492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231948 is a wasteful number, since it uses less digits than its factorization.

231948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 231948 is about 481.6098005647. The cubic root of 231948 is about 61.4417453524.

The spelling of 231948 in words is "two hundred thirty-one thousand, nine hundred forty-eight".