2210829 has 12 divisors (see below), whose sum is σ = 3093216. Its totient is φ = 1401928.

The previous prime is 2210801. The next prime is 2210837. The reversal of 2210829 is 9280122.

It is not a de Polignac number, because 2210829 - 2⁵ = 2210797 is a prime.

2210829 is a Rhonda number in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 2210799 and 2210808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12262 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (257768).

2^2210829 is an apocalyptic number.

It is an amenable number.

2210829 is a deficient number, since it is larger than the sum of its proper divisors (882387).

2210829 is an equidigital number, since it uses as much as digits as its factorization.

2210829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2210829 is about 1486.8856714623. The cubic root of 2210829 is about 130.2721910361.

Subtracting from 2210829 its product of nonzero digits (576), we obtain a triangular number (2210253 = T₂₁₀₂).

The spelling of 2210829 in words is "two million, two hundred ten thousand, eight hundred twenty-nine".