32795 has 8 divisors (see below), whose sum is σ = 45024. Its totient is φ = 22464.

The previous prime is 32789. The next prime is 32797. The reversal of 32795 is 59723.

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

It is a cyclic number.

It is not a de Polignac number, because 32795 - 2⁴ = 32779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32797) 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 7 ways as a sum of consecutive naturals, for example, 434 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (5628).

32795 is a Friedman number, since it can be written as 5*(9^(7-3)-2), using all its digits and the basic arithmetic operations.

2³²⁷⁹⁵ is an apocalyptic number.

32795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32795 is a deficient number, since it is larger than the sum of its proper divisors (12229).

32795 is an equidigital number, since it uses as much as digits as its factorization.

32795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its digits is 1890, while the sum is 26.

The square root of 32795 is about 181.0938982959. The cubic root of 32795 is about 32.0087866496.

It can be divided in two parts, 3 and 2795, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 32795 in words is "thirty-two thousand, seven hundred ninety-five".