32180 has 12 divisors (see below), whose sum is σ = 67620. Its totient is φ = 12864.

The previous prime is 32173. The next prime is 32183. The reversal of 32180 is 8123.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 8464 = 154^2 + 92^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32180.

It is not an unprimeable number, because it can be changed into a prime (32183) by changing a digit.

32180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (5635).

2³²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

32180 is an abundant number, since it is smaller than the sum of its proper divisors (35440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33810).

32180 is a wasteful number, since it uses less digits than its factorization.

32180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 32180 is about 179.3878479719. The cubic root of 32180 is about 31.8074373122.

It can be divided in two parts, 32 and 180, that added together give a palindrome (212).

The spelling of 32180 in words is "thirty-two thousand, one hundred eighty".