32001 has 4 divisors (see below), whose sum is σ = 42672. Its totient is φ = 21332.

The previous prime is 31991. The next prime is 32003. The reversal of 32001 is 10023.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 32001 - 2⁷ = 31873 is a prime.

It is a D-number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5331 + ... + 5336.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

It is a Proth number, since it is equal to 125 ⋅ 2⁸ + 1 and 125 < 2⁸.

2³²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

32001 is a deficient number, since it is larger than the sum of its proper divisors (10671).

32001 is a wasteful number, since it uses less digits than its factorization.

32001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 32001 is about 178.8882332631. Note that the first 3 decimals coincide. The cubic root of 32001 is about 31.7483517445.

Adding to 32001 its reverse (10023), we get a palindrome (42024).

The spelling of 32001 in words is "thirty-two thousand, one".