32994 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 9936.

The previous prime is 32993. The next prime is 32999. The reversal of 32994 is 49923.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 679 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³²⁹⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

32994 is an abundant number, since it is smaller than the sum of its proper divisors (47646).

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

32994 is a wasteful number, since it uses less digits than its factorization.

32994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 32994 is about 181.6425060386. The cubic root of 32994 is about 32.0733992219.

The spelling of 32994 in words is "thirty-two thousand, nine hundred ninety-four".