13005405 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5391360.

The previous prime is 13005403. The next prime is 13005413. The reversal of 13005405 is 50450031.

It is not a de Polignac number, because 13005405 - 2¹ = 13005403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245359 + ... + 245411.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13005405 is an apocalyptic number.

13005405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13005405 is an abundant number, since it is smaller than the sum of its proper divisors (15299235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005405 is a wasteful number, since it uses less digits than its factorization.

13005405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13005405 is about 3606.3007362116. The cubic root of 13005405 is about 235.1660513440.

Adding to 13005405 its reverse (50450031), we get a palindrome (63455436).

It can be divided in two parts, 13005 and 405, that multiplied together give a square (5267025 = 2295²).

The spelling of 13005405 in words is "thirteen million, five thousand, four hundred five".