405005111 has 16 divisors (see below), whose sum is σ = 478494720. Its totient is φ = 335456640.

The previous prime is 405005101. The next prime is 405005119. The reversal of 405005111 is 111500504.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405005111 is a prime.

It is a super-2 number, since 2×405005111² = 328058279872244642, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405005111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405005119) 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, 280730 + ... + 282168.

It is an arithmetic number, because the mean of its divisors is an integer number (29905920).

Almost surely, 2^405005111 is an apocalyptic number.

405005111 is a deficient number, since it is larger than the sum of its proper divisors (73489609).

405005111 is a wasteful number, since it uses less digits than its factorization.

405005111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 405005111 is about 20124.7387809134. The cubic root of 405005111 is about 739.8667345848.

Adding to 405005111 its reverse (111500504), we get a palindrome (516505615).

The spelling of 405005111 in words is "four hundred five million, five thousand, one hundred eleven".