13605345 has 36 divisors (see below), whose sum is σ = 25550460. Its totient is φ = 6694272.

The previous prime is 13605343. The next prime is 13605353. The reversal of 13605345 is 54350631.

13605345 is a `hidden beast` number, since 13 + 605 + 3 + 45 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 471969 + 13133376 = 687^2 + 3624^2 .

It is not a de Polignac number, because 13605345 - 2¹ = 13605343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13605343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6711 + ... + 8499.

It is an arithmetic number, because the mean of its divisors is an integer number (709735).

Almost surely, 2^13605345 is an apocalyptic number.

13605345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13605345 is a deficient number, since it is larger than the sum of its proper divisors (11945115).

13605345 is a wasteful number, since it uses less digits than its factorization.

13605345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13605345 is about 3688.5423950390. The cubic root of 13605345 is about 238.7279047195.

Adding to 13605345 its reverse (54350631), we get a palindrome (67955976).

The spelling of 13605345 in words is "thirteen million, six hundred five thousand, three hundred forty-five".