10838635 has 12 divisors (see below), whose sum is σ = 13616208. Its totient is φ = 8266896.

The previous prime is 10838627. The next prime is 10838651. The reversal of 10838635 is 53683801.

It is a happy number.

10838635 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 10838635 - 2³ = 10838627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10838635.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35152 + ... + 35458.

It is an arithmetic number, because the mean of its divisors is an integer number (1134684).

Almost surely, 2^10838635 is an apocalyptic number.

10838635 is a deficient number, since it is larger than the sum of its proper divisors (2777573).

10838635 is an frugal number, since it uses more digits than its factorization.

10838635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 10838635 is about 3292.2082254924. The cubic root of 10838635 is about 221.3051550493.

The spelling of 10838635 in words is "ten million, eight hundred thirty-eight thousand, six hundred thirty-five".