32980 has 24 divisors (see below), whose sum is σ = 74088. Its totient is φ = 12288.

The previous prime is 32971. The next prime is 32983. The reversal of 32980 is 8923.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 26896 = 78^2 + 164^2 .

It is a d-powerful number, because it can be written as 3 + 2⁷ + 9² + 8⁵ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32983) by changing a digit.

32980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2³²⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044).

32980 is an abundant number, since it is smaller than the sum of its proper divisors (41108).

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

32980 is a wasteful number, since it uses less digits than its factorization.

32980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 32980 is about 181.6039647144. The cubic root of 32980 is about 32.0688621231.

The spelling of 32980 in words is "thirty-two thousand, nine hundred eighty".