33001 has 4 divisors (see below), whose sum is σ = 33604. Its totient is φ = 32400.

The previous prime is 32999. The next prime is 33013. The reversal of 33001 is 10033.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10033 = 79 ⋅127.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 27225 = 76^2 + 165^2 .

It is a 4-Lehmer number, since φ(33001) divides (33001-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 33001 - 2¹ = 32999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (8401).

2³³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

33001 is a deficient number, since it is larger than the sum of its proper divisors (603).

33001 is an equidigital number, since it uses as much as digits as its factorization.

33001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 33001 is about 181.6617736344. The cubic root of 33001 is about 32.0756672901.

Adding to 33001 its reverse (10033), we get a palindrome (43034).

The spelling of 33001 in words is "thirty-three thousand, one".