32976 has 30 divisors (see below), whose sum is σ = 92690. Its totient is φ = 10944.

The previous prime is 32971. The next prime is 32983. The reversal of 32976 is 67923.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 576 = 180^2 + 24^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32971) by changing a digit.

32976 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 5 ways as a sum of consecutive naturals, for example, 30 + ... + 258.

2³²⁹⁷⁶ is an apocalyptic number.

32976 is a gapful number since it is divisible by the number (36) 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 32976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46345).

32976 is an abundant number, since it is smaller than the sum of its proper divisors (59714).

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

32976 is a wasteful number, since it uses less digits than its factorization.

32976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 32976 is about 181.5929514051. The cubic root of 32976 is about 32.0675655733.

The spelling of 32976 in words is "thirty-two thousand, nine hundred seventy-six".