13305735 has 16 divisors (see below), whose sum is σ = 23654880. Its totient is φ = 7096320.

The previous prime is 13305709. The next prime is 13305749. The reversal of 13305735 is 53750331.

13305735 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 13305735 - 2⁶ = 13305671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13305699 and 13305708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49146 + ... + 49415.

It is an arithmetic number, because the mean of its divisors is an integer number (1478430).

Almost surely, 2^13305735 is an apocalyptic number.

13305735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13305735 is a deficient number, since it is larger than the sum of its proper divisors (10349145).

13305735 is an equidigital number, since it uses as much as digits as its factorization.

13305735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98575 (or 98569 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13305735 is about 3647.7027017014. The cubic root of 13305735 is about 236.9625000754.

The spelling of 13305735 in words is "thirteen million, three hundred five thousand, seven hundred thirty-five".