8281224 has 64 divisors (see below), whose sum is σ = 26294400. Its totient is φ = 2365632.

The previous prime is 8281223. The next prime is 8281237. The reversal of 8281224 is 4221828.

8281224 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

8281224 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (8281223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 4250.

It is an arithmetic number, because the mean of its divisors is an integer number (410850).

Almost surely, 2^8281224 is an apocalyptic number.

8281224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8281224 is an abundant number, since it is smaller than the sum of its proper divisors (18013176).

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

8281224 is a wasteful number, since it uses less digits than its factorization.

8281224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5489 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8281224 is about 2877.7115908305. The cubic root of 8281224 is about 202.3165966311.

The spelling of 8281224 in words is "eight million, two hundred eighty-one thousand, two hundred twenty-four".