264033 has 32 divisors (see below), whose sum is σ = 491520. Its totient is φ = 136080.

The previous prime is 264031. The next prime is 264053. The reversal of 264033 is 330462.

264033 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264033 - 2¹ = 264031 is a prime.

264033 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 263997 and 264015.

It is not an unprimeable number, because it can be changed into a prime (264031) 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 31 ways as a sum of consecutive naturals, for example, 2016 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (15360).

2²⁶⁴⁰³³ is an apocalyptic number.

264033 is the 297-th octagonal number.

It is an amenable number.

264033 is a deficient number, since it is larger than the sum of its proper divisors (227487).

264033 is a wasteful number, since it uses less digits than its factorization.

264033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 264033 is about 513.8414152246. The cubic root of 264033 is about 64.1533594338.

Adding to 264033 its reverse (330462), we get a palindrome (594495).

The spelling of 264033 in words is "two hundred sixty-four thousand, thirty-three".