208965 has 8 divisors (see below), whose sum is σ = 334368. Its totient is φ = 111440.

The previous prime is 208963. The next prime is 208991. The reversal of 208965 is 569802.

208965 = T₁₈ + T₁₉ + ... + T₁₀₇.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 208965 - 2¹ = 208963 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6951 + ... + 6980.

It is an arithmetic number, because the mean of its divisors is an integer number (41796).

2²⁰⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

208965 is a deficient number, since it is larger than the sum of its proper divisors (125403).

208965 is a wasteful number, since it uses less digits than its factorization.

208965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 208965 is about 457.1268970428. The cubic root of 208965 is about 59.3414085153.

The spelling of 208965 in words is "two hundred eight thousand, nine hundred sixty-five".