2005123673 has 32 divisors (see below), whose sum is σ = 2382981120. Its totient is φ = 1651858560.

The previous prime is 2005123663. The next prime is 2005123717. The reversal of 2005123673 is 3763215002.

It is a cyclic number.

It is not a de Polignac number, because 2005123673 - 2⁴ = 2005123657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005123663) 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, 6447188 + ... + 6447498.

It is an arithmetic number, because the mean of its divisors is an integer number (74468160).

Almost surely, 2^2005123673 is an apocalyptic number.

It is an amenable number.

2005123673 is a deficient number, since it is larger than the sum of its proper divisors (377857447).

2005123673 is a wasteful number, since it uses less digits than its factorization.

2005123673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 2005123673 is about 44778.6073142075. The cubic root of 2005123673 is about 1260.9960363479.

Adding to 2005123673 its reverse (3763215002), we get a palindrome (5768338675).

The spelling of 2005123673 in words is "two billion, five million, one hundred twenty-three thousand, six hundred seventy-three".