1005141224 has 8 divisors (see below), whose sum is σ = 1884639810. Its totient is φ = 502570608.

The previous prime is 1005141209. The next prime is 1005141229. The reversal of 1005141224 is 4221415001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 724578724 + 280562500 = 26918^2 + 16750^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×1005141224³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005141196 and 1005141205.

It is not an unprimeable number, because it can be changed into a prime (1005141229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62821319 + ... + 62821334.

Almost surely, 2^1005141224 is an apocalyptic number.

It is an amenable number.

1005141224 is a deficient number, since it is larger than the sum of its proper divisors (879498586).

1005141224 is a wasteful number, since it uses less digits than its factorization.

1005141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125642659 (or 125642655 counting only the distinct ones).

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

The square root of 1005141224 is about 31703.9622760311. The cubic root of 1005141224 is about 1001.7108127838.

Adding to 1005141224 its reverse (4221415001), we get a palindrome (5226556225).

The spelling of 1005141224 in words is "one billion, five million, one hundred forty-one thousand, two hundred twenty-four".