13584045 has 32 divisors (see below), whose sum is σ = 22708224. Its totient is φ = 6926400.

The previous prime is 13584023. The next prime is 13584061. The reversal of 13584045 is 54048531.

13584045 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 13584045 - 2⁸ = 13583789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60804 + ... + 61026.

It is an arithmetic number, because the mean of its divisors is an integer number (709632).

Almost surely, 2^13584045 is an apocalyptic number.

13584045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13584045 is a deficient number, since it is larger than the sum of its proper divisors (9124179).

13584045 is a wasteful number, since it uses less digits than its factorization.

13584045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 13584045 is about 3685.6539446888. The cubic root of 13584045 is about 238.6032586029.

The spelling of 13584045 in words is "thirteen million, five hundred eighty-four thousand, forty-five".