1005085623 has 8 divisors (see below), whose sum is σ = 1345329648. Its totient is φ = 667449344.

The previous prime is 1005085597. The next prime is 1005085687. The reversal of 1005085623 is 3265805001.

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 1005085623 - 2¹⁶ = 1005020087 is a prime.

It is a super-2 number, since 2×1005085623² = 2020394219122596258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005085223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651036 + ... + 652577.

It is an arithmetic number, because the mean of its divisors is an integer number (168166206).

Almost surely, 2^1005085623 is an apocalyptic number.

1005085623 is a deficient number, since it is larger than the sum of its proper divisors (340244025).

1005085623 is a wasteful number, since it uses less digits than its factorization.

1005085623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303873.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1005085623 is about 31703.0853861261. The cubic root of 1005085623 is about 1001.6923420295.

The spelling of 1005085623 in words is "one billion, five million, eighty-five thousand, six hundred twenty-three".