1005224 has 16 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 456880.

The previous prime is 1005223. The next prime is 1005229. The reversal of 1005224 is 4225001.

1005224 = T₁₀₅ + T₁₀₆ + ... + T₁₉₂.

It is a junction number, because it is equal to n+sod(n) for n = 1005199 and 1005208.

It is not an unprimeable number, because it can be changed into a prime (1005223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5624 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

2^1005224 is an apocalyptic number.

It is an amenable number.

1005224 is an abundant number, since it is smaller than the sum of its proper divisors (1051096).

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

1005224 is a wasteful number, since it uses less digits than its factorization.

1005224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1005224 is about 1002.6085976093. The cubic root of 1005224 is about 100.1738309861.

The spelling of 1005224 in words is "one million, five thousand, two hundred twenty-four".