10838307 has 8 divisors (see below), whose sum is σ = 14565376. Its totient is φ = 7168392.

The previous prime is 10838293. The next prime is 10838323. The reversal of 10838307 is 70383801.

10838307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10838307 - 2⁴ = 10838291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10838407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13843 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (1820672).

Almost surely, 2^10838307 is an apocalyptic number.

10838307 is a deficient number, since it is larger than the sum of its proper divisors (3727069).

10838307 is a wasteful number, since it uses less digits than its factorization.

10838307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28577.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10838307 is about 3292.1584105264. The cubic root of 10838307 is about 221.3029226395.

It can be divided in two parts, 108 and 38307, that multiplied together give a square (4137156 = 2034²).

The spelling of 10838307 in words is "ten million, eight hundred thirty-eight thousand, three hundred seven".