4125 has 16 divisors (see below), whose sum is σ = 7488.
Its totient is φ = 2000.
The previous prime is 4111. The next prime is 4127. The reversal of 4125 is 5214.
It is not a de Polignac number, because 4125 - 25 = 4093 is a prime.
It is an alternating number because its digits alternate between even and odd.
It is a plaindrome in base 12.
It is a nialpdrome in base 11.
It is a self number, because there is not a number n which added to its sum of digits gives 4125.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 380.
It is an arithmetic number, because the mean of its divisors is an integer number (468).
24125 is an apocalyptic number.
It is an amenable number.
4125 is a deficient number, since it is larger than the sum of its proper divisors (3363).
4125 is a wasteful number, since it uses less digits than its factorization.
4125 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29 (or 19 counting only the distinct ones).
The product of its digits is 40, while the sum is 12.
The square root of 4125 is about 64.2261628933.
The cubic root of 4125 is about 16.0376716500.
Adding to 4125 its reverse (5214), we get a palindrome (9339).
Subtracting 4125 from its reverse (5214), we obtain a square (1089 = 332).
It can be divided in two parts, 41 and 25, that added together give a palindrome (66).
The spelling of 4125 in words is "four thousand, one hundred twenty-five".