13473585 has 24 divisors (see below), whose sum is σ = 23474880. Its totient is φ = 7148832.

The previous prime is 13473569. The next prime is 13473589. The reversal of 13473585 is 58537431.

13473585 is a `hidden beast` number, since 1 + 3 + 4 + 73 + 585 = 666.

13473585 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 13473585 - 2⁴ = 13473569 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13473589) 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 23 ways as a sum of consecutive naturals, for example, 9556 + ... + 10874.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^13473585 is an apocalyptic number.

13473585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13473585 is a deficient number, since it is larger than the sum of its proper divisors (10001295).

13473585 is a wasteful number, since it uses less digits than its factorization.

13473585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1554 counting only the distinct ones).

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

The square root of 13473585 is about 3670.6382278835. The cubic root of 13473585 is about 237.9547556581.

The spelling of 13473585 in words is "thirteen million, four hundred seventy-three thousand, five hundred eighty-five".