232971984 has 80 divisors (see below), whose sum is σ = 764256640. Its totient is φ = 66562560.

The previous prime is 232971917. The next prime is 232971989. The reversal of 232971984 is 489179232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232971989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35497 + ... + 41544.

It is an arithmetic number, because the mean of its divisors is an integer number (9553208).

Almost surely, 2^232971984 is an apocalyptic number.

232971984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232971984 is an abundant number, since it is smaller than the sum of its proper divisors (531284656).

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

232971984 is a wasteful number, since it uses less digits than its factorization.

232971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77065 (or 77053 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 232971984 is about 15263.4198002938. The cubic root of 232971984 is about 615.3202852818.

It can be divided in two parts, 23297 and 1984, that added together give a square (25281 = 159²).

The spelling of 232971984 in words is "two hundred thirty-two million, nine hundred seventy-one thousand, nine hundred eighty-four".