32966 has 8 divisors (see below), whose sum is σ = 50544. Its totient is φ = 16120.

The previous prime is 32957. The next prime is 32969. The reversal of 32966 is 66923.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32969) by changing a digit.

32966 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 3 ways as a sum of consecutive naturals, for example, 50 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2³²⁹⁶⁶ is an apocalyptic number.

32966 is a deficient number, since it is larger than the sum of its proper divisors (17578).

32966 is a wasteful number, since it uses less digits than its factorization.

32966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its digits is 1944, while the sum is 26.

The square root of 32966 is about 181.5654152090. The cubic root of 32966 is about 32.0643237401.

The spelling of 32966 in words is "thirty-two thousand, nine hundred sixty-six".