232512 has 56 divisors (see below), whose sum is σ = 707136. Its totient is φ = 66048.

The previous prime is 232499. The next prime is 232513. The reversal of 232512 is 215232.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 232491 and 232500.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232512.

It is not an unprimeable number, because it can be changed into a prime (232513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258 + ... + 1430.

2²³²⁵¹² 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 232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353568).

232512 is an abundant number, since it is smaller than the sum of its proper divisors (474624).

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

232512 is a wasteful number, since it uses less digits than its factorization.

232512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 232512 is about 482.1949813094. The cubic root of 232512 is about 61.4915052052.

Adding to 232512 its reverse (215232), we get a palindrome (447744).

The spelling of 232512 in words is "two hundred thirty-two thousand, five hundred twelve".