161832 has 32 divisors (see below), whose sum is σ = 442080. Its totient is φ = 48960.

The previous prime is 161831. The next prime is 161839. The reversal of 161832 is 238161.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 161799 and 161808.

It is not an unprimeable number, because it can be changed into a prime (161831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (13815).

2¹⁶¹⁸³² is an apocalyptic number.

161832 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 161832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221040).

161832 is an abundant number, since it is smaller than the sum of its proper divisors (280248).

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

161832 is a wasteful number, since it uses less digits than its factorization.

161832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 161832 is about 402.2834821367. The cubic root of 161832 is about 54.4947670536.

Adding to 161832 its reverse (238161), we get a palindrome (399993).

The spelling of 161832 in words is "one hundred sixty-one thousand, eight hundred thirty-two".