208845 has 64 divisors (see below), whose sum is σ = 483840. Its totient is φ = 82944.

The previous prime is 208843. The next prime is 208877. The reversal of 208845 is 548802.

It is not a de Polignac number, because 208845 - 2¹ = 208843 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

208845 is a lucky number.

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 208845.

It is not an unprimeable number, because it can be changed into a prime (208843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12277 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2²⁰⁸⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

208845 is an abundant number, since it is smaller than the sum of its proper divisors (274995).

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

208845 is a wasteful number, since it uses less digits than its factorization.

208845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

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

The square root of 208845 is about 456.9956236114. The cubic root of 208845 is about 59.3300472307.

The spelling of 208845 in words is "two hundred eight thousand, eight hundred forty-five".