231006321 has 24 divisors (see below), whose sum is σ = 410679360. Its totient is φ = 121849056.

The previous prime is 231006301. The next prime is 231006331. The reversal of 231006321 is 123600132.

231006321 is a `hidden beast` number, since 2 + 31 + 0 + 0 + 632 + 1 = 666.

It is not a de Polignac number, because 231006321 - 2⁵ = 231006289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231006294 and 231006303.

It is not an unprimeable number, because it can be changed into a prime (231006301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140211 + ... + 141848.

It is an arithmetic number, because the mean of its divisors is an integer number (17111640).

Almost surely, 2^231006321 is an apocalyptic number.

231006321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231006321 is a deficient number, since it is larger than the sum of its proper divisors (179673039).

231006321 is a wasteful number, since it uses less digits than its factorization.

231006321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282085 (or 282082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231006321 is about 15198.8920977813. The cubic root of 231006321 is about 613.5848405016.

Adding to 231006321 its reverse (123600132), we get a palindrome (354606453).

The spelling of 231006321 in words is "two hundred thirty-one million, six thousand, three hundred twenty-one".