16133832 has 96 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 4510080.

The previous prime is 16133779. The next prime is 16133837. The reversal of 16133832 is 23833161.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 16133796 and 16133805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16133837) 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 23 ways as a sum of consecutive naturals, for example, 9513 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^16133832 is an apocalyptic number.

16133832 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 16133832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

16133832 is an abundant number, since it is smaller than the sum of its proper divisors (35233848).

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

16133832 is a wasteful number, since it uses less digits than its factorization.

16133832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 16133832 is about 4016.6941631147. The cubic root of 16133832 is about 252.6848341128.

Adding to 16133832 its reverse (23833161), we get a palindrome (39966993).

It can be divided in two parts, 1613 and 3832, that added together give a palindrome (5445).

The spelling of 16133832 in words is "sixteen million, one hundred thirty-three thousand, eight hundred thirty-two".