13785705 has 12 divisors (see below), whose sum is σ = 23895300. Its totient is φ = 7352352.

The previous prime is 13785689. The next prime is 13785713. The reversal of 13785705 is 50758731.

13785705 is a `hidden beast` number, since 13 + 78 + 570 + 5 = 666.

13785705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6365529 + 7420176 = 2523^2 + 2724^2 .

It is not a de Polignac number, because 13785705 - 2⁴ = 13785689 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13785705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153130 + ... + 153219.

It is an arithmetic number, because the mean of its divisors is an integer number (1991275).

Almost surely, 2^13785705 is an apocalyptic number.

13785705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13785705 is a deficient number, since it is larger than the sum of its proper divisors (10109595).

13785705 is a wasteful number, since it uses less digits than its factorization.

13785705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306360 (or 306357 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 13785705 is about 3712.9105833564. The cubic root of 13785705 is about 239.7781804636.

The spelling of 13785705 in words is "thirteen million, seven hundred eighty-five thousand, seven hundred five".