4124205 has 24 divisors (see below), whose sum is σ = 7344792. Its totient is φ = 2139264.

The previous prime is 4124191. The next prime is 4124207. The reversal of 4124205 is 5024214.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 2996361 = 1062^2 + 1731^2 .

It is not a de Polignac number, because 4124205 - 2⁴ = 4124189 is a prime.

4124205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (306033).

Almost surely, 2^4124205 is an apocalyptic number.

4124205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4124205 is a deficient number, since it is larger than the sum of its proper divisors (3220587).

4124205 is a wasteful number, since it uses less digits than its factorization.

4124205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4124205 is about 2030.8138762575. The cubic root of 4124205 is about 160.3664128488.

Adding to 4124205 its reverse (5024214), we get a palindrome (9148419).

Subtracting 4124205 from its reverse (5024214), we obtain a palindrome (900009).

The spelling of 4124205 in words is "four million, one hundred twenty-four thousand, two hundred five".