231891984 has 135 divisors (see below), whose sum is σ = 688545247. Its totient is φ = 75652704.

The previous prime is 231891953. The next prime is 231892021. The reversal of 231891984 is 489198132.

The square root of 231891984 is 15228.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4933849 + ... + 4933895.

Almost surely, 2^231891984 is an apocalyptic number.

231891984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

231891984 is the 15228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231891984

231891984 is an abundant number, since it is smaller than the sum of its proper divisors (456653263).

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

231891984 is an frugal number, since it uses more digits than its factorization.

231891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 52 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The cubic root of 231891984 is about 614.3679884445.

The spelling of 231891984 in words is "two hundred thirty-one million, eight hundred ninety-one thousand, nine hundred eighty-four".