208485 has 24 divisors (see below), whose sum is σ = 373464. Its totient is φ = 107520.

The previous prime is 208469. The next prime is 208489. The reversal of 208485 is 584802.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 191844 = 129^2 + 438^2 .

It is not a de Polignac number, because 208485 - 2⁴ = 208469 is a prime.

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 208485.

It is not an unprimeable number, because it can be changed into a prime (208489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789 + ... + 1901.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2²⁰⁸⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

208485 is a deficient number, since it is larger than the sum of its proper divisors (164979).

208485 is a wasteful number, since it uses less digits than its factorization.

208485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 208485 is about 456.6015768698. The cubic root of 208485 is about 59.2959372427.

The spelling of 208485 in words is "two hundred eight thousand, four hundred eighty-five".