32955 has 16 divisors (see below), whose sum is σ = 57120. Its totient is φ = 16224.

The previous prime is 32941. The next prime is 32957. The reversal of 32955 is 55923.

It is not a de Polignac number, because 32955 - 2⁴ = 32939 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32955.

It is not an unprimeable number, because it can be changed into a prime (32957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2³²⁹⁵⁵ is an apocalyptic number.

32955 is a deficient number, since it is larger than the sum of its proper divisors (24165).

32955 is an equidigital number, since it uses as much as digits as its factorization.

32955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 32955 is about 181.5351205690. The cubic root of 32955 is about 32.0607569663.

The spelling of 32955 in words is "thirty-two thousand, nine hundred fifty-five".