8413224 has 32 divisors (see below), whose sum is σ = 21109920. Its totient is φ = 2794176.

The previous prime is 8413211. The next prime is 8413243. The reversal of 8413224 is 4223148.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 8 + 4 + 1 + 3³ + 2¹³ + 2²³ + 4⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 8413194 and 8413203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9087 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (659685).

Almost surely, 2^8413224 is an apocalyptic number.

It is an amenable number.

8413224 is an abundant number, since it is smaller than the sum of its proper divisors (12696696).

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

8413224 is a wasteful number, since it uses less digits than its factorization.

8413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 8413224 is about 2900.5558088063. Note that the first 3 decimals coincide. The cubic root of 8413224 is about 203.3858886515.

The spelling of 8413224 in words is "eight million, four hundred thirteen thousand, two hundred twenty-four".