1005145224 has 64 divisors (see below), whose sum is σ = 2540678400. Its totient is φ = 331362816.

The previous prime is 1005145223. The next prime is 1005145231. The reversal of 1005145224 is 4225415001.

1005145224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1005145224³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1005145194 and 1005145203.

It is not an unprimeable number, because it can be changed into a prime (1005145223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966897 + ... + 967935.

It is an arithmetic number, because the mean of its divisors is an integer number (39698100).

Almost surely, 2^1005145224 is an apocalyptic number.

It is an amenable number.

1005145224 is an abundant number, since it is smaller than the sum of its proper divisors (1535533176).

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

1005145224 is a wasteful number, since it uses less digits than its factorization.

1005145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1005145224 is about 31704.0253595659. The cubic root of 1005145224 is about 1001.7121415649.

The spelling of 1005145224 in words is "one billion, five million, one hundred forty-five thousand, two hundred twenty-four".