281232 has 100 divisors (see below), whose sum is σ = 960256. Its totient is φ = 77760.

The previous prime is 281227. The next prime is 281233. The reversal of 281232 is 232182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 2² + 8³ + 2¹⁴ + 1 + 3⁷ + 2¹⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281232.

It is not an unprimeable number, because it can be changed into a prime (281233) by changing a digit.

281232 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 19 ways as a sum of consecutive naturals, for example, 9057 + ... + 9087.

2²⁸¹²³² 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 281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480128).

281232 is an abundant number, since it is smaller than the sum of its proper divisors (679024).

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

281232 is a wasteful number, since it uses less digits than its factorization.

281232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 281232 is about 530.3131150556. The cubic root of 281232 is about 65.5171370967.

The spelling of 281232 in words is "two hundred eighty-one thousand, two hundred thirty-two".