13582713 has 16 divisors (see below), whose sum is σ = 18495360. Its totient is φ = 8865024.

The previous prime is 13582693. The next prime is 13582727. The reversal of 13582713 is 31728531.

It is not a de Polignac number, because 13582713 - 2¹⁶ = 13517177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13582753) 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 15 ways as a sum of consecutive naturals, for example, 34723 + ... + 35111.

It is an arithmetic number, because the mean of its divisors is an integer number (1155960).

Almost surely, 2^13582713 is an apocalyptic number.

It is an amenable number.

13582713 is a deficient number, since it is larger than the sum of its proper divisors (4912647).

13582713 is a wasteful number, since it uses less digits than its factorization.

13582713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its digits is 5040, while the sum is 30.

The square root of 13582713 is about 3685.4732396261. The cubic root of 13582713 is about 238.5954595041.

The spelling of 13582713 in words is "thirteen million, five hundred eighty-two thousand, seven hundred thirteen".