13585973 has 4 divisors (see below), whose sum is σ = 13623360. Its totient is φ = 13548588.

The previous prime is 13585963. The next prime is 13585987. The reversal of 13585973 is 37958531.

It is a happy number.

13585973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13585973 - 2⁶ = 13585909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13585973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18143 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (3405840).

Almost surely, 2^13585973 is an apocalyptic number.

It is an amenable number.

13585973 is a deficient number, since it is larger than the sum of its proper divisors (37387).

13585973 is an equidigital number, since it uses as much as digits as its factorization.

13585973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37386.

The product of its digits is 113400, while the sum is 41.

The square root of 13585973 is about 3685.9154900784. The cubic root of 13585973 is about 238.6145464856.

The spelling of 13585973 in words is "thirteen million, five hundred eighty-five thousand, nine hundred seventy-three".