13829589 has 8 divisors (see below), whose sum is σ = 20488320. Its totient is φ = 9219708.

The previous prime is 13829579. The next prime is 13829591. The reversal of 13829589 is 98592831.

It is a happy number.

13829589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13829589 - 2⁷ = 13829461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256077 + ... + 256130.

It is an arithmetic number, because the mean of its divisors is an integer number (2561040).

Almost surely, 2^13829589 is an apocalyptic number.

It is an amenable number.

13829589 is a deficient number, since it is larger than the sum of its proper divisors (6658731).

13829589 is an equidigital number, since it uses as much as digits as its factorization.

13829589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512216 (or 512210 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 13829589 is about 3718.8155372376. The cubic root of 13829589 is about 240.0323393922.

It can be divided in two parts, 138295 and 89, that added together give a square (138384 = 372²).

The spelling of 13829589 in words is "thirteen million, eight hundred twenty-nine thousand, five hundred eighty-nine".