10838125 has 10 divisors (see below), whose sum is σ = 13544102. Its totient is φ = 8670000.

The previous prime is 10838119. The next prime is 10838131. The reversal of 10838125 is 52183801.

It is an interprime number because it is at equal distance from previous prime (10838119) and next prime (10838131).

It can be written as a sum of positive squares in 5 ways, for example, as 1999396 + 8838729 = 1414^2 + 2973^2 .

It is not a de Polignac number, because 10838125 - 2³ = 10838117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10838093 and 10838102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8046 + ... + 9295.

Almost surely, 2^10838125 is an apocalyptic number.

It is an amenable number.

10838125 is a deficient number, since it is larger than the sum of its proper divisors (2705977).

10838125 is an frugal number, since it uses more digits than its factorization.

10838125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 10838125 is about 3292.1307689702. The cubic root of 10838125 is about 221.3016839050.

The spelling of 10838125 in words is "ten million, eight hundred thirty-eight thousand, one hundred twenty-five".