1005224405 has 16 divisors (see below), whose sum is σ = 1215212544. Its totient is φ = 798237120.

The previous prime is 1005224387. The next prime is 1005224411. The reversal of 1005224405 is 5044225001.

It is a happy number.

It is not a de Polignac number, because 1005224405 - 2¹⁴ = 1005208021 is a prime.

It is a super-2 number, since 2×1005224405² = 2020952208815208050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613247 + ... + 614883.

It is an arithmetic number, because the mean of its divisors is an integer number (75950784).

Almost surely, 2^1005224405 is an apocalyptic number.

It is an amenable number.

1005224405 is a deficient number, since it is larger than the sum of its proper divisors (209988139).

1005224405 is a wasteful number, since it uses less digits than its factorization.

1005224405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1005224405 is about 31705.2740880756. The cubic root of 1005224405 is about 1001.7384443931.

Adding to 1005224405 its reverse (5044225001), we get a palindrome (6049449406).

The spelling of 1005224405 in words is "one billion, five million, two hundred twenty-four thousand, four hundred five".