10838945 has 24 divisors (see below), whose sum is σ = 14905464. Its totient is φ = 7520256.

The previous prime is 10838941. The next prime is 10838959. The reversal of 10838945 is 54983801.

It can be written as a sum of positive squares in 12 ways, for example, as 1681 + 10837264 = 41^2 + 3292^2 .

It is not a de Polignac number, because 10838945 - 2² = 10838941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10838899 and 10838908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18497 + ... + 19073.

It is an arithmetic number, because the mean of its divisors is an integer number (621061).

Almost surely, 2^10838945 is an apocalyptic number.

It is an amenable number.

10838945 is a deficient number, since it is larger than the sum of its proper divisors (4066519).

10838945 is a wasteful number, since it uses less digits than its factorization.

10838945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 10838945 is about 3292.2553060174. The cubic root of 10838945 is about 221.3072649073.

The spelling of 10838945 in words is "ten million, eight hundred thirty-eight thousand, nine hundred forty-five".