2205333 has 32 divisors (see below), whose sum is σ = 3610880. Its totient is φ = 1321920.

The previous prime is 2205323. The next prime is 2205353. The reversal of 2205333 is 3335022.

It is not a de Polignac number, because 2205333 - 2⁹ = 2204821 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21360 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

2^2205333 is an apocalyptic number.

It is an amenable number.

2205333 is a deficient number, since it is larger than the sum of its proper divisors (1405547).

2205333 is a wasteful number, since it uses less digits than its factorization.

2205333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2205333 is about 1485.0363631912. The cubic root of 2205333 is about 130.1641516121.

The spelling of 2205333 in words is "two million, two hundred five thousand, three hundred thirty-three".