10838575 has 18 divisors (see below), whose sum is σ = 14776832. Its totient is φ = 7880400.

The previous prime is 10838557. The next prime is 10838579. The reversal of 10838575 is 57583801.

10838575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10838575 - 2¹³ = 10830383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838579) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1234 + ... + 4816.

Almost surely, 2^10838575 is an apocalyptic number.

10838575 is a deficient number, since it is larger than the sum of its proper divisors (3938257).

10838575 is a wasteful number, since it uses less digits than its factorization.

10838575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 10838575 is about 3292.1991130550. The cubic root of 10838575 is about 221.3047466850.

It can be divided in two parts, 108 and 38575, that added together give a palindrome (38683).

The spelling of 10838575 in words is "ten million, eight hundred thirty-eight thousand, five hundred seventy-five".