18001829 has 6 divisors (see below), whose sum is σ = 18453330. Its totient is φ = 17561120.

The previous prime is 18001817. The next prime is 18001843. The reversal of 18001829 is 92810081.

It can be written as a sum of positive squares in 3 ways, for example, as 277729 + 17724100 = 527^2 + 4210^2 .

It is not a de Polignac number, because 18001829 - 2²⁰ = 16953253 is a prime.

It is a super-3 number, since 3×18001829³ (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001849) 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 in 5 ways as a sum of consecutive naturals, for example, 3674 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (3075555).

Almost surely, 2^18001829 is an apocalyptic number.

It is an amenable number.

18001829 is a deficient number, since it is larger than the sum of its proper divisors (451501).

18001829 is an equidigital number, since it uses as much as digits as its factorization.

18001829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 18001829 is about 4242.8562313611. The cubic root of 18001829 is about 262.0830156684.

The spelling of 18001829 in words is "eighteen million, one thousand, eight hundred twenty-nine".