2213829 has 6 divisors (see below), whose sum is σ = 3197766. Its totient is φ = 1475880.

The previous prime is 2213789. The next prime is 2213833. The reversal of 2213829 is 9283122.

It is a happy number.

2213829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2169729 + 44100 = 1473^2 + 210^2 .

It is not a de Polignac number, because 2213829 - 2⁹ = 2213317 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁴ + 1 + 3¹³ + 8⁴ + 2¹⁶ + 9⁶ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122982 + ... + 122999.

It is an arithmetic number, because the mean of its divisors is an integer number (532961).

2^2213829 is an apocalyptic number.

It is an amenable number.

2213829 is a deficient number, since it is larger than the sum of its proper divisors (983937).

2213829 is a wasteful number, since it uses less digits than its factorization.

2213829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245987 (or 245984 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2213829 is about 1487.8941494609. The cubic root of 2213829 is about 130.3310889928.

The spelling of 2213829 in words is "two million, two hundred thirteen thousand, eight hundred twenty-nine".