13735845 has 16 divisors (see below), whose sum is σ = 24419520. Its totient is φ = 7325712.

The previous prime is 13735831. The next prime is 13735867. The reversal of 13735845 is 54853731.

13735845 is a `hidden beast` number, since 1 + 3 + 73 + 584 + 5 = 666.

13735845 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 13735845 - 2⁴ = 13735829 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 50739 + ... + 51008.

It is an arithmetic number, because the mean of its divisors is an integer number (1526220).

Almost surely, 2^13735845 is an apocalyptic number.

13735845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13735845 is a deficient number, since it is larger than the sum of its proper divisors (10683675).

13735845 is a wasteful number, since it uses less digits than its factorization.

13735845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101761 (or 101755 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 13735845 is about 3706.1900922646. The cubic root of 13735845 is about 239.4887554776.

The spelling of 13735845 in words is "thirteen million, seven hundred thirty-five thousand, eight hundred forty-five".