4114125 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 2059200.

The previous prime is 4114087. The next prime is 4114133. The reversal of 4114125 is 5214114.

It is not a de Polignac number, because 4114125 - 2⁷ = 4113997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4114098 and 4114107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77599 + ... + 77651.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 2^4114125 is an apocalyptic number.

4114125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4114125 is a deficient number, since it is larger than the sum of its proper divisors (3972915).

4114125 is a wasteful number, since it uses less digits than its factorization.

4114125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 4114125 is about 2028.3305943559. The cubic root of 4114125 is about 160.2356553497.

Adding to 4114125 its reverse (5214114), we get a palindrome (9328239).

The spelling of 4114125 in words is "four million, one hundred fourteen thousand, one hundred twenty-five".