2133312 has 56 divisors (see below), whose sum is σ = 5803392. Its totient is φ = 691200.

The previous prime is 2133311. The next prime is 2133331.

2133312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133291 and 2133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7737 + ... + 8007.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

2^2133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901696).

2133312 is an abundant number, since it is smaller than the sum of its proper divisors (3670080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133312 is a wasteful number, since it uses less digits than its factorization.

2133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 2133312 is about 1460.5861836948. The cubic root of 2133312 is about 128.7314888396.

It can be divided in two parts, 21 and 33312, that added together give a palindrome (33333).

The spelling of 2133312 in words is "two million, one hundred thirty-three thousand, three hundred twelve".