4005923831 has 16 divisors (see below), whose sum is σ = 4953758208. Its totient is φ = 3154485600.

The previous prime is 4005923813. The next prime is 4005923851. The reversal of 4005923831 is 1383295004.

It is a de Polignac number, because none of the positive numbers 2^k-4005923831 is a prime.

It is a super-2 number, since 2×4005923831² = 32094851479547433122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 4005923791 and 4005923800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005923851) 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, 85115 + ... + 123516.

It is an arithmetic number, because the mean of its divisors is an integer number (309609888).

Almost surely, 2^4005923831 is an apocalyptic number.

4005923831 is a deficient number, since it is larger than the sum of its proper divisors (947834377).

4005923831 is a wasteful number, since it uses less digits than its factorization.

4005923831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208862.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4005923831 is about 63292.3678732278. The cubic root of 4005923831 is about 1588.1842900779.

The spelling of 4005923831 in words is "four billion, five million, nine hundred twenty-three thousand, eight hundred thirty-one".