208236825 has 120 divisors (see below), whose sum is σ = 427794048. Its totient is φ = 99601920.

The previous prime is 208236797. The next prime is 208236829. The reversal of 208236825 is 528632802.

It is not a de Polignac number, because 208236825 - 2⁸ = 208236569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 208236825.

It is not an unprimeable number, because it can be changed into a prime (208236829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 791644 + ... + 791906.

Almost surely, 2^208236825 is an apocalyptic number.

208236825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208236825 is an abundant number, since it is smaller than the sum of its proper divisors (219557223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208236825 is a wasteful number, since it uses less digits than its factorization.

208236825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 208236825 is about 14430.4131957474. The cubic root of 208236825 is about 592.7239979847.

The spelling of 208236825 in words is "two hundred eight million, two hundred thirty-six thousand, eight hundred twenty-five".