208825 has 6 divisors (see below), whose sum is σ = 258974. Its totient is φ = 167040.

The previous prime is 208807. The next prime is 208837. The reversal of 208825 is 528802.

It can be written as a sum of positive squares in 3 ways, for example, as 22201 + 186624 = 149^2 + 432^2 .

It is not a de Polignac number, because 208825 - 2⁷ = 208697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 8353 = 208825 / (2 + 0 + 8 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 208825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4152 + ... + 4201.

2²⁰⁸⁸²⁵ is an apocalyptic number.

208825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208825 is a deficient number, since it is larger than the sum of its proper divisors (50149).

208825 is an equidigital number, since it uses as much as digits as its factorization.

208825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 208825 is about 456.9737410399. The cubic root of 208825 is about 59.3281532601.

The spelling of 208825 in words is "two hundred eight thousand, eight hundred twenty-five".