208925 has 12 divisors (see below), whose sum is σ = 265236. Its totient is φ = 163200.

The previous prime is 208907. The next prime is 208927. The reversal of 208925 is 529802.

It can be written as a sum of positive squares in 6 ways, for example, as 31684 + 177241 = 178^2 + 421^2 .

It is a de Polignac number, because none of the positive numbers 2^k-208925 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208894 and 208903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208925.

It is not an unprimeable number, because it can be changed into a prime (208927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (22103).

2²⁰⁸⁹²⁵ is an apocalyptic number.

208925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208925 is a deficient number, since it is larger than the sum of its proper divisors (56311).

208925 is a wasteful number, since it uses less digits than its factorization.

208925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 208925 is about 457.0831434214. The cubic root of 208925 is about 59.3376219038.

It can be divided in two parts, 2089 and 25, that multiplied together give a palindrome (52225).

The spelling of 208925 in words is "two hundred eight thousand, nine hundred twenty-five".