13829832 has 64 divisors (see below), whose sum is σ = 39336000. Its totient is φ = 4499712.

The previous prime is 13829821. The next prime is 13829843. The reversal of 13829832 is 23892831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13829821) and next prime (13829843).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8544 + ... + 10032.

It is an arithmetic number, because the mean of its divisors is an integer number (614625).

Almost surely, 2^13829832 is an apocalyptic number.

13829832 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 13829832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668000).

13829832 is an abundant number, since it is smaller than the sum of its proper divisors (25506168).

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

13829832 is a wasteful number, since it uses less digits than its factorization.

13829832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13829832 is about 3718.8482087872. The cubic root of 13829832 is about 240.0337452550.

The spelling of 13829832 in words is "thirteen million, eight hundred twenty-nine thousand, eight hundred thirty-two".