208138329 has 45 divisors (see below), whose sum is σ = 363271887. Its totient is φ = 118416816.

The previous prime is 208138321. The next prime is 208138349. The reversal of 208138329 is 923831802.

It is a happy number.

The square root of 208138329 is 14427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 193849929 + 14288400 = 13923^2 + 3780^2 .

It is not a de Polignac number, because 208138329 - 2³ = 208138321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 208138293 and 208138302.

It is not an unprimeable number, because it can be changed into a prime (208138321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 908787 + ... + 909015.

Almost surely, 2^208138329 is an apocalyptic number.

208138329 is the 14427-th square number.

208138329 is the 7214-th centered octagonal number.

It is an amenable number.

208138329 is a deficient number, since it is larger than the sum of its proper divisors (155133558).

208138329 is an frugal number, since it uses more digits than its factorization.

208138329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 208138329 is about 592.6305304467.

Multiplying 208138329 by its sum of digits (36), we get a square (7492979844 = 86562²).

Multiplying 208138329 by its product of nonzero digits (20736), we get a square (4315956390144 = 2077488²).

The spelling of 208138329 in words is "two hundred eight million, one hundred thirty-eight thousand, three hundred twenty-nine".