1005872241 has 8 divisors (see below), whose sum is σ = 1463086944. Its totient is φ = 609619520.

The previous prime is 1005872233. The next prime is 1005872243. The reversal of 1005872241 is 1422785001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005872241 - 2³ = 1005872233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005872199 and 1005872208.

It is not an unprimeable number, because it can be changed into a prime (1005872243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15240456 + ... + 15240521.

It is an arithmetic number, because the mean of its divisors is an integer number (182885868).

Almost surely, 2^1005872241 is an apocalyptic number.

1005872241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005872241 is a deficient number, since it is larger than the sum of its proper divisors (457214703).

1005872241 is a wasteful number, since it uses less digits than its factorization.

1005872241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30480991.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1005872241 is about 31715.4889762085. The cubic root of 1005872241 is about 1001.9535946493.

The spelling of 1005872241 in words is "one billion, five million, eight hundred seventy-two thousand, two hundred forty-one".