208029 has 8 divisors (see below), whose sum is σ = 293760. Its totient is φ = 130496.

The previous prime is 208009. The next prime is 208037. The reversal of 208029 is 920802.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 208029 - 2⁵ = 207997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 207996 and 208014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2²⁰⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

208029 is a deficient number, since it is larger than the sum of its proper divisors (85731).

208029 is a wasteful number, since it uses less digits than its factorization.

208029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 208029 is about 456.1019622848. The cubic root of 208029 is about 59.2526748423.

The spelling of 208029 in words is "two hundred eight thousand, twenty-nine".