82224 has 30 divisors (see below), whose sum is σ = 230516. Its totient is φ = 27360.

The previous prime is 82223. The next prime is 82231. The reversal of 82224 is 42228.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 junction number, because it is equal to n+sod(n) for n = 82197 and 82206.

It is not an unprimeable number, because it can be changed into a prime (82223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142 + ... + 429.

2⁸²²²⁴ is an apocalyptic number.

It is an amenable number.

82224 is an abundant number, since it is smaller than the sum of its proper divisors (148292).

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

82224 is a wasteful number, since it uses less digits than its factorization.

82224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 82224 is about 286.7472754884. The cubic root of 82224 is about 43.4843383968.

The spelling of 82224 in words is "eighty-two thousand, two hundred twenty-four".