4202125 has 8 divisors (see below), whose sum is σ = 5244408. Its totient is φ = 3361600.

The previous prime is 4202117. The next prime is 4202141. The reversal of 4202125 is 5212024.

It can be written as a sum of positive squares in 4 ways, for example, as 708964 + 3493161 = 842^2 + 1869^2 .

It is not a de Polignac number, because 4202125 - 2³ = 4202117 is a prime.

It is a Duffinian number.

4202125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4202099 and 4202108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16684 + ... + 16933.

It is an arithmetic number, because the mean of its divisors is an integer number (655551).

Almost surely, 2^4202125 is an apocalyptic number.

It is an amenable number.

4202125 is a deficient number, since it is larger than the sum of its proper divisors (1042283).

4202125 is an equidigital number, since it uses as much as digits as its factorization.

4202125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33622 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4202125 is about 2049.9085345449. The cubic root of 4202125 is about 161.3700706168.

Adding to 4202125 its reverse (5212024), we get a palindrome (9414149).

It can be divided in two parts, 42021 and 25, that multiplied together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 4202125 in words is "four million, two hundred two thousand, one hundred twenty-five".