4131405 has 30 divisors (see below), whose sum is σ = 7479978. Its totient is φ = 2181600.

The previous prime is 4131373. The next prime is 4131409. The reversal of 4131405 is 5041314.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2566404 + 1565001 = 1602^2 + 1251^2 .

It is not a de Polignac number, because 4131405 - 2⁵ = 4131373 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 (4131409) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40855 + ... + 40955.

Almost surely, 2^4131405 is an apocalyptic number.

4131405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4131405 is a deficient number, since it is larger than the sum of its proper divisors (3348573).

4131405 is an equidigital number, since it uses as much as digits as its factorization.

4131405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4131405 is about 2032.5857915473. The cubic root of 4131405 is about 160.4596806749.

Adding to 4131405 its reverse (5041314), we get a palindrome (9172719).

Subtracting 4131405 from its reverse (5041314), we obtain a palindrome (909909).

The spelling of 4131405 in words is "four million, one hundred thirty-one thousand, four hundred five".