2004029 has 2 divisors, whose sum is σ = 2004030. Its totient is φ = 2004028.

The previous prime is 2004017. The next prime is 2004043. The reversal of 2004029 is 9204002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1684804 + 319225 = 1298^2 + 565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2004029 is a prime.

It is a super-2 number, since 2×2004029² = 8032264465682, which contains 22 as substring.

It is a Chen prime.

It is equal to p₁₄₉₂₁₀ and since 2004029 and 149210 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2003998 and 2004016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002014 + 1002015.

It is an arithmetic number, because the mean of its divisors is an integer number (1002015).

2^2004029 is an apocalyptic number.

It is an amenable number.

2004029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004029 is an equidigital number, since it uses as much as digits as its factorization.

2004029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2004029 is about 1415.6373123085. The cubic root of 2004029 is about 126.0766519401.

The spelling of 2004029 in words is "two million, four thousand, twenty-nine".