2002829 has 2 divisors, whose sum is σ = 2002830. Its totient is φ = 2002828.

The previous prime is 2002823. The next prime is 2002841. The reversal of 2002829 is 9282002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1630729 + 372100 = 1277^2 + 610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002829 - 2²⁰ = 954253 is a prime.

It is a super-2 number, since 2×2002829² = 8022648006482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001414 + 1001415.

It is an arithmetic number, because the mean of its divisors is an integer number (1001415).

2^2002829 is an apocalyptic number.

It is an amenable number.

2002829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002829 is an equidigital number, since it uses as much as digits as its factorization.

2002829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2002829 is about 1415.2134114684. The cubic root of 2002829 is about 126.0514822794.

The spelling of 2002829 in words is "two million, two thousand, eight hundred twenty-nine".