2180133 has 12 divisors (see below), whose sum is σ = 3258060. Its totient is φ = 1403136.

The previous prime is 2180119. The next prime is 2180141. The reversal of 2180133 is 3310812.

It can be written as a sum of positive squares in 2 ways, for example, as 1292769 + 887364 = 1137^2 + 942^2 .

It is not a de Polignac number, because 2180133 - 2¹³ = 2171941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180173) 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 11 ways as a sum of consecutive naturals, for example, 3916 + ... + 4437.

It is an arithmetic number, because the mean of its divisors is an integer number (271505).

2^2180133 is an apocalyptic number.

It is an amenable number.

2180133 is a deficient number, since it is larger than the sum of its proper divisors (1077927).

2180133 is a wasteful number, since it uses less digits than its factorization.

2180133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2180133 is about 1476.5273448196. The cubic root of 2180133 is about 129.6664625381. Note that the first 3 decimals are identical.

Adding to 2180133 its reverse (3310812), we get a palindrome (5490945).

The spelling of 2180133 in words is "two million, one hundred eighty thousand, one hundred thirty-three".