4204125 has 48 divisors (see below), whose sum is σ = 7860528. Its totient is φ = 2160000.

The previous prime is 4204121. The next prime is 4204133. The reversal of 4204125 is 5214024.

4204125 = 36³ + 37³ + ... + 65³.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 4173849 = 174^2 + 2043^2 .

It is not a de Polignac number, because 4204125 - 2² = 4204121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4204098 and 4204107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41575 + ... + 41675.

It is an arithmetic number, because the mean of its divisors is an integer number (163761).

Almost surely, 2^4204125 is an apocalyptic number.

4204125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4204125 is a deficient number, since it is larger than the sum of its proper divisors (3656403).

4204125 is a wasteful number, since it uses less digits than its factorization.

4204125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

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

The square root of 4204125 is about 2050.3963031570. The cubic root of 4204125 is about 161.3956679001.

Adding to 4204125 its reverse (5214024), we get a palindrome (9418149).

The spelling of 4204125 in words is "four million, two hundred four thousand, one hundred twenty-five".