208905125 has 96 divisors (see below), whose sum is σ = 328872960. Its totient is φ = 131040000.

The previous prime is 208905121. The next prime is 208905139. The reversal of 208905125 is 521509802.

It is not a de Polignac number, because 208905125 - 2² = 208905121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208905091 and 208905100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208905121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6738860 + ... + 6738890.

It is an arithmetic number, because the mean of its divisors is an integer number (3425760).

Almost surely, 2^208905125 is an apocalyptic number.

208905125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208905125 is a deficient number, since it is larger than the sum of its proper divisors (119967835).

208905125 is a wasteful number, since it uses less digits than its factorization.

208905125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 208905125 is about 14453.5506018417. The cubic root of 208905125 is about 593.3574025150.

The spelling of 208905125 in words is "two hundred eight million, nine hundred five thousand, one hundred twenty-five".