2209829 has 8 divisors (see below), whose sum is σ = 2304120. Its totient is φ = 2116800.

The previous prime is 2209811. The next prime is 2209841. The reversal of 2209829 is 9289022.

It can be written as a sum of positive squares in 4 ways, for example, as 184900 + 2024929 = 430^2 + 1423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2209829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2209795 and 2209804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209849) 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, 5039 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (288015).

2^2209829 is an apocalyptic number.

2209829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2209829 is a deficient number, since it is larger than the sum of its proper divisors (94291).

2209829 is a wasteful number, since it uses less digits than its factorization.

2209829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2209829 is about 1486.5493600954. The cubic root of 2209829 is about 130.2525465441.

The spelling of 2209829 in words is "two million, two hundred nine thousand, eight hundred twenty-nine".