32065 has 12 divisors (see below), whose sum is σ = 43092. Its totient is φ = 22880.

The previous prime is 32063. The next prime is 32069. The reversal of 32065 is 56023.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 14641 = 132^2 + 121^2 .

It is not a de Polignac number, because 32065 - 2¹ = 32063 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2³²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

32065 is a deficient number, since it is larger than the sum of its proper divisors (11027).

32065 is a wasteful number, since it uses less digits than its factorization.

32065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 32065 is about 179.0670265571. The cubic root of 32065 is about 31.7695025571.

Adding to 32065 its reverse (56023), we get a palindrome (88088).

The spelling of 32065 in words is "thirty-two thousand, sixty-five".