32005 has 8 divisors (see below), whose sum is σ = 39672. Its totient is φ = 24768.

The previous prime is 32003. The next prime is 32009. The reversal of 32005 is 50023.

32005 = 52² + 53² + ... + 61².

It can be written as a sum of positive squares in 4 ways, for example, as 16129 + 15876 = 127^2 + 126^2 .

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 32005 - 2¹ = 32003 is a prime.

It is a Duffinian number.

32005 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31982 and 32000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (4959).

2³²⁰⁰⁵ is an apocalyptic number.

32005 is the 127-th centered square number.

It is an amenable number.

32005 is a deficient number, since it is larger than the sum of its proper divisors (7667).

32005 is a wasteful number, since it uses less digits than its factorization.

32005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 32005 is about 178.8994130790. The cubic root of 32005 is about 31.7496744960.

Adding to 32005 its reverse (50023), we get a palindrome (82028).

The spelling of 32005 in words is "thirty-two thousand, five".