18029 has 6 divisors (see below), whose sum is σ = 19950. Its totient is φ = 16280.

The previous prime is 18013. The next prime is 18041. The reversal of 18029 is 92081.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 5929 = 110^2 + 77^2 .

It is not a de Polignac number, because 18029 - 2⁴ = 18013 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 18029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (3325).

2¹⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

18029 is a deficient number, since it is larger than the sum of its proper divisors (1921).

18029 is a wasteful number, since it uses less digits than its factorization.

18029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 18029 is about 134.2721117731. The cubic root of 18029 is about 26.2214807423.

The spelling of 18029 in words is "eighteen thousand, twenty-nine".