32045 has 16 divisors (see below), whose sum is σ = 45360. Its totient is φ = 21504.

The previous prime is 32029. The next prime is 32051. The reversal of 32045 is 54023.

It can be written as a sum of positive squares in 8 ways, for example, as 361 + 31684 = 19^2 + 178^2 .

It is a cyclic number.

It is not a de Polignac number, because 32045 - 2⁴ = 32029 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³²⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

32045 is a deficient number, since it is larger than the sum of its proper divisors (13315).

32045 is a wasteful number, since it uses less digits than its factorization.

32045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 32045 is about 179.0111728357. The cubic root of 32045 is about 31.7628959538.

Adding to 32045 its reverse (54023), we get a palindrome (86068).

It can be divided in two parts, 320 and 45, that multiplied together give a square (14400 = 120²).

The spelling of 32045 in words is "thirty-two thousand, forty-five".