10838871 has 24 divisors (see below), whose sum is σ = 16488576. Its totient is φ = 6851520.

The previous prime is 10838869. The next prime is 10838897. The reversal of 10838871 is 17883801.

It is not a de Polignac number, because 10838871 - 2¹ = 10838869 is a prime.

It is a super-2 number, since 2×10838871² = 234962249109282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838171) by changing a digit.

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, 14421 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (687024).

Almost surely, 2^10838871 is an apocalyptic number.

10838871 is a deficient number, since it is larger than the sum of its proper divisors (5649705).

10838871 is a wasteful number, since it uses less digits than its factorization.

10838871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 10838871 is about 3292.2440675017. The cubic root of 10838871 is about 221.3067612675.

The spelling of 10838871 in words is "ten million, eight hundred thirty-eight thousand, eight hundred seventy-one".