13583971 has 8 divisors (see below), whose sum is σ = 13893120. Its totient is φ = 13278408.

The previous prime is 13583959. The next prime is 13583989. The reversal of 13583971 is 17938531.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13583971 - 2²¹ = 11486819 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 13583971.

It is not an unprimeable number, because it can be changed into a prime (13583951) 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 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (1736640).

Almost surely, 2^13583971 is an apocalyptic number.

13583971 is a deficient number, since it is larger than the sum of its proper divisors (309149).

13583971 is a wasteful number, since it uses less digits than its factorization.

13583971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793.

The product of its digits is 22680, while the sum is 37.

The square root of 13583971 is about 3685.6439057511. The cubic root of 13583971 is about 238.6028253330.

It can be divided in two parts, 1358 and 3971, that added together give a square (5329 = 73²).

The spelling of 13583971 in words is "thirteen million, five hundred eighty-three thousand, nine hundred seventy-one".