10834959 has 16 divisors (see below), whose sum is σ = 15276800. Its totient is φ = 6811776.

The previous prime is 10834939. The next prime is 10834963. The reversal of 10834959 is 95943801.

10834959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10834959 - 2²⁰ = 9786383 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834939) 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 15 ways as a sum of consecutive naturals, for example, 24462 + ... + 24900.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 2^10834959 is an apocalyptic number.

10834959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10834959 is a deficient number, since it is larger than the sum of its proper divisors (4441841).

10834959 is a wasteful number, since it uses less digits than its factorization.

10834959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 10834959 is about 3291.6498902526. The cubic root of 10834959 is about 221.2801331489.

The spelling of 10834959 in words is "ten million, eight hundred thirty-four thousand, nine hundred fifty-nine".