242832 has 20 divisors (see below), whose sum is σ = 627440. Its totient is φ = 80928.

The previous prime is 242819. The next prime is 242863. The reversal of 242832 is 238242.

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

It is a nialpdrome in base 8 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 242799 and 242808.

It is an unprimeable number.

242832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2482 + ... + 2577.

It is an arithmetic number, because the mean of its divisors is an integer number (31372).

2²⁴²⁸³² is an apocalyptic number.

It is an amenable number.

242832 is an abundant number, since it is smaller than the sum of its proper divisors (384608).

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

242832 is a wasteful number, since it uses less digits than its factorization.

242832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5064 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 242832 is about 492.7798697187. The cubic root of 242832 is about 62.3881305498.

Subtracting from 242832 its product of digits (768), we obtain a square (242064 = 492²).

The spelling of 242832 in words is "two hundred forty-two thousand, eight hundred thirty-two".