13085730 has 48 divisors (see below), whose sum is σ = 38885184. Its totient is φ = 2990880.

The previous prime is 13085729. The next prime is 13085741. The reversal of 13085730 is 3758031.

It is a junction number, because it is equal to n+sod(n) for n = 13085694 and 13085703.

It is an unprimeable number.

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, 9756 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (810108).

Almost surely, 2^13085730 is an apocalyptic number.

13085730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13085730 is an abundant number, since it is smaller than the sum of its proper divisors (25799454).

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

13085730 is a wasteful number, since it uses less digits than its factorization.

13085730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20791 (or 20788 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13085730 is about 3617.4203515765. The cubic root of 13085730 is about 235.6492083236.

The spelling of 13085730 in words is "thirteen million, eighty-five thousand, seven hundred thirty".