208525 has 12 divisors (see below), whose sum is σ = 272800. Its totient is φ = 157680.

The previous prime is 208519. The next prime is 208529. The reversal of 208525 is 525802.

It is not a de Polignac number, because 208525 - 2⁵ = 208493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208496 and 208505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208529) 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, 256 + ... + 694.

2²⁰⁸⁵²⁵ is an apocalyptic number.

208525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208525 is a deficient number, since it is larger than the sum of its proper divisors (64275).

208525 is a wasteful number, since it uses less digits than its factorization.

208525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 208525 is about 456.6453766327. The cubic root of 208525 is about 59.2997291795.

It can be divided in two parts, 2085 and 25, that multiplied together give a palindrome (52125).

The spelling of 208525 in words is "two hundred eight thousand, five hundred twenty-five".