232992 has 36 divisors (see below), whose sum is σ = 663390. Its totient is φ = 77568.

The previous prime is 232987. The next prime is 233021. The reversal of 232992 is 299232.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 76176 = 396^2 + 276^2 .

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

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 117 + ... + 692.

2²³²⁹⁹² 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 232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331695).

232992 is an abundant number, since it is smaller than the sum of its proper divisors (430398).

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

232992 is a wasteful number, since it uses less digits than its factorization.

232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 232992 is about 482.6924486669. The cubic root of 232992 is about 61.5337906711.

The spelling of 232992 in words is "two hundred thirty-two thousand, nine hundred ninety-two".