4142125 has 16 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 3057600.

The previous prime is 4142119. The next prime is 4142129. The reversal of 4142125 is 5212414.

It can be written as a sum of positive squares in 8 ways, for example, as 1121481 + 3020644 = 1059^2 + 1738^2 .

It is not a de Polignac number, because 4142125 - 2¹¹ = 4140077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^4142125 is an apocalyptic number.

It is an amenable number.

4142125 is a deficient number, since it is larger than the sum of its proper divisors (1427075).

4142125 is a wasteful number, since it uses less digits than its factorization.

4142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2567 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 4142125 is about 2035.2211182080. The cubic root of 4142125 is about 160.5983455395.

Adding to 4142125 its reverse (5212414), we get a palindrome (9354539).

It can be divided in two parts, 4 and 142125, that added together give a square (142129 = 377²).

The spelling of 4142125 in words is "four million, one hundred forty-two thousand, one hundred twenty-five".