33007 has 4 divisors (see below), whose sum is σ = 35560. Its totient is φ = 30456.

The previous prime is 32999. The next prime is 33013. The reversal of 33007 is 70033.

33007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70033 = 59 ⋅1187.

It is a cyclic number.

It is not a de Polignac number, because 33007 - 2³ = 32999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 2539 = 33007 / (3 + 3 + 0 + 0 + 7).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33007.

It is not an unprimeable number, because it can be changed into a prime (33037) 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, 1257 + ... + 1282.

It is an arithmetic number, because the mean of its divisors is an integer number (8890).

2³³⁰⁰⁷ is an apocalyptic number.

33007 is a deficient number, since it is larger than the sum of its proper divisors (2553).

33007 is a wasteful number, since it uses less digits than its factorization.

33007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552.

The product of its (nonzero) digits is 63, while the sum is 13.

The square root of 33007 is about 181.6782870901. The cubic root of 33007 is about 32.0776110932.

The spelling of 33007 in words is "thirty-three thousand, seven".