4131205 has 12 divisors (see below), whose sum is σ = 5369220. Its totient is φ = 3050112.

The previous prime is 4131109. The next prime is 4131223. The reversal of 4131205 is 5021314.

4131205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 509796 + 3621409 = 714^2 + 1903^2 .

It is not a de Polignac number, because 4131205 - 2⁷ = 4131077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1600 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (447435).

Almost surely, 2^4131205 is an apocalyptic number.

It is an amenable number.

4131205 is a deficient number, since it is larger than the sum of its proper divisors (1238015).

4131205 is a wasteful number, since it uses less digits than its factorization.

4131205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4131205 is about 2032.5365925365. The cubic root of 4131205 is about 160.4570913658.

Adding to 4131205 its reverse (5021314), we get a palindrome (9152519).

The spelling of 4131205 in words is "four million, one hundred thirty-one thousand, two hundred five".