13035834 has 48 divisors (see below), whose sum is σ = 32480448. Its totient is φ = 3701376.

The previous prime is 13035833. The next prime is 13035851. The reversal of 13035834 is 43853031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13035798 and 13035807.

It is not an unprimeable number, because it can be changed into a prime (13035833) 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, 38514 + ... + 38850.

It is an arithmetic number, because the mean of its divisors is an integer number (676676).

Almost surely, 2^13035834 is an apocalyptic number.

13035834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240224).

13035834 is an abundant number, since it is smaller than the sum of its proper divisors (19444614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13035834 is a wasteful number, since it uses less digits than its factorization.

13035834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13035834 is about 3610.5171374749. The cubic root of 13035834 is about 235.3493160229.

Adding to 13035834 its reverse (43853031), we get a palindrome (56888865).

The spelling of 13035834 in words is "thirteen million, thirty-five thousand, eight hundred thirty-four".