208025 has 12 divisors (see below), whose sum is σ = 264492. Its totient is φ = 162240.

The previous prime is 208009. The next prime is 208037. The reversal of 208025 is 520802.

It is a happy number.

208025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3721 + 204304 = 61^2 + 452^2 .

It is not a de Polignac number, because 208025 - 2⁴ = 208009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 207994 and 208012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (22041).

2²⁰⁸⁰²⁵ is an apocalyptic number.

208025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208025 is a deficient number, since it is larger than the sum of its proper divisors (56467).

208025 is a wasteful number, since it uses less digits than its factorization.

208025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 208025 is about 456.0975772792. The cubic root of 208025 is about 59.2522950680.

Adding to 208025 its reverse (520802), we get a palindrome (728827).

The spelling of 208025 in words is "two hundred eight thousand, twenty-five".