1005414221 has 32 divisors (see below), whose sum is σ = 1251936000. Its totient is φ = 787894272.

The previous prime is 1005414211. The next prime is 1005414229. The reversal of 1005414221 is 1224145001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005414221 - 2¹⁴ = 1005397837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005414193 and 1005414202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005414229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624065 + ... + 625673.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 2^1005414221 is an apocalyptic number.

It is an amenable number.

1005414221 is a deficient number, since it is larger than the sum of its proper divisors (246521779).

1005414221 is a wasteful number, since it uses less digits than its factorization.

1005414221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1005414221 is about 31708.2673919595. The cubic root of 1005414221 is about 1001.8014930074.

Adding to 1005414221 its reverse (1224145001), we get a palindrome (2229559222).

The spelling of 1005414221 in words is "one billion, five million, four hundred fourteen thousand, two hundred twenty-one".