32765 has 4 divisors (see below), whose sum is σ = 39324. Its totient is φ = 26208.

The previous prime is 32749. The next prime is 32771. The reversal of 32765 is 56723.

32765 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 56723 = 131 ⋅433.

It can be written as a sum of positive squares in 2 ways, for example, as 11449 + 21316 = 107^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 32765 - 2⁴ = 32749 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 32765.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32765.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3272 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (9831).

32765 is a Friedman number, since it can be written as (7*2-6)^5-3, using all its digits and the basic arithmetic operations.

2³²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

32765 is a deficient number, since it is larger than the sum of its proper divisors (6559).

32765 is an equidigital number, since it uses as much as digits as its factorization.

32765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558.

The product of its digits is 1260, while the sum is 23.

The square root of 32765 is about 181.0110493865. The cubic root of 32765 is about 31.9990234077. Note that the first 3 decimals are identical.

It can be divided in two parts, 32 and 765, that added together give a palindrome (797).

The spelling of 32765 in words is "thirty-two thousand, seven hundred sixty-five".