10414125 has 24 divisors (see below), whose sum is σ = 18775224. Its totient is φ = 5553600.

The previous prime is 10414097. The next prime is 10414133. The reversal of 10414125 is 52141401.

It can be written as a sum of positive squares in 4 ways, for example, as 2223081 + 8191044 = 1491^2 + 2862^2 .

It is not a de Polignac number, because 10414125 - 2¹⁰ = 10413101 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10414098 and 10414107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3504 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (782301).

Almost surely, 2^10414125 is an apocalyptic number.

10414125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414125 is a deficient number, since it is larger than the sum of its proper divisors (8361099).

10414125 is an equidigital number, since it uses as much as digits as its factorization.

10414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9265 counting only the distinct ones).

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

The square root of 10414125 is about 3227.0923445108. The cubic root of 10414125 is about 218.3773519364.

Adding to 10414125 its reverse (52141401), we get a palindrome (62555526).

The spelling of 10414125 in words is "ten million, four hundred fourteen thousand, one hundred twenty-five".