2004829 has 2 divisors, whose sum is σ = 2004830. Its totient is φ = 2004828.

The previous prime is 2004817. The next prime is 2004833. The reversal of 2004829 is 9284002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1822500 + 182329 = 1350^2 + 427^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004829 - 2⁷ = 2004701 is a prime.

2004829 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002414 + 1002415.

It is an arithmetic number, because the mean of its divisors is an integer number (1002415).

2^2004829 is an apocalyptic number.

It is an amenable number.

2004829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004829 is an equidigital number, since it uses as much as digits as its factorization.

2004829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2004829 is about 1415.9198423640. The cubic root of 2004829 is about 126.0934261324.

The spelling of 2004829 in words is "two million, four thousand, eight hundred twenty-nine".