8141224 has 64 divisors (see below), whose sum is σ = 19232640. Its totient is φ = 3144960.

The previous prime is 8141213. The next prime is 8141227. The reversal of 8141224 is 4221418.

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 = 8141195 and 8141204.

It is not an unprimeable number, because it can be changed into a prime (8141227) 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, 38479 + ... + 38689.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 2^8141224 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 8141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616320).

8141224 is an abundant number, since it is smaller than the sum of its proper divisors (11091416).

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

8141224 is a wasteful number, since it uses less digits than its factorization.

8141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 8141224 is about 2853.2830213633. The cubic root of 8141224 is about 201.1700087176.

The spelling of 8141224 in words is "eight million, one hundred forty-one thousand, two hundred twenty-four".