13065735 has 16 divisors (see below), whose sum is σ = 20964960. Its totient is φ = 6948480.

The previous prime is 13065733. The next prime is 13065739. The reversal of 13065735 is 53756031.

13065735 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 13065735 - 2¹ = 13065733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065733) 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 15 ways as a sum of consecutive naturals, for example, 5281 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (1310310).

Almost surely, 2^13065735 is an apocalyptic number.

13065735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13065735 is a deficient number, since it is larger than the sum of its proper divisors (7899225).

13065735 is a wasteful number, since it uses less digits than its factorization.

13065735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 13065735 is about 3614.6555852529. The cubic root of 13065735 is about 235.5291231152.

The spelling of 13065735 in words is "thirteen million, sixty-five thousand, seven hundred thirty-five".