231224461 has 8 divisors (see below), whose sum is σ = 255084984. Its totient is φ = 208231680.

The previous prime is 231224449. The next prime is 231224473. The reversal of 231224461 is 164422132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231224449) and next prime (231224473).

It can be written as a sum of positive squares in 4 ways, for example, as 10850436 + 220374025 = 3294^2 + 14845^2 .

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 231224461 - 2¹⁷ = 231093389 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 (231224431) 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 7 ways as a sum of consecutive naturals, for example, 216376 + ... + 217441.

It is an arithmetic number, because the mean of its divisors is an integer number (31885623).

Almost surely, 2^231224461 is an apocalyptic number.

It is an amenable number.

231224461 is a deficient number, since it is larger than the sum of its proper divisors (23860523).

231224461 is a wasteful number, since it uses less digits than its factorization.

231224461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433871.

The product of its digits is 2304, while the sum is 25.

The square root of 231224461 is about 15206.0665854125. The cubic root of 231224461 is about 613.7779164425. Note that the first 3 decimals are identical.

Adding to 231224461 its reverse (164422132), we get a palindrome (395646593).

The spelling of 231224461 in words is "two hundred thirty-one million, two hundred twenty-four thousand, four hundred sixty-one".