13829532 has 48 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 4352128.

The previous prime is 13829507. The next prime is 13829533. The reversal of 13829532 is 23592831.

It is a junction number, because it is equal to n+sod(n) for n = 13829493 and 13829502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24283 + ... + 24845.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 2^13829532 is an apocalyptic number.

13829532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

13829532 is an abundant number, since it is smaller than the sum of its proper divisors (20281188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13829532 is a wasteful number, since it uses less digits than its factorization.

13829532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 13829532 is about 3718.8078734992. The cubic root of 13829532 is about 240.0320096195.

The spelling of 13829532 in words is "thirteen million, eight hundred twenty-nine thousand, five hundred thirty-two".