164832 has 48 divisors (see below), whose sum is σ = 462672. Its totient is φ = 51200.

The previous prime is 164831. The next prime is 164837. The reversal of 164832 is 238461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 1 + 6 + 8⁵ + 4⁴ + 3⁶ + 2¹⁷ .

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164831) 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, 1582 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (9639).

2¹⁶⁴⁸³² is an apocalyptic number.

164832 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 164832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336).

164832 is an abundant number, since it is smaller than the sum of its proper divisors (297840).

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

164832 is a wasteful number, since it uses less digits than its factorization.

164832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 164832 is about 405.9950738617. The cubic root of 164832 is about 54.8294441019.

The spelling of 164832 in words is "one hundred sixty-four thousand, eight hundred thirty-two".