208816965 has 48 divisors (see below), whose sum is σ = 427939200. Its totient is φ = 92163456.

The previous prime is 208816943. The next prime is 208816981. The reversal of 208816965 is 569618802.

It is not a de Polignac number, because 208816965 - 2¹⁵ = 208784197 is a prime.

It is a super-2 number, since 2×208816965² = 87209049743622450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 208816965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295 + ... + 20564.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2^208816965 is an apocalyptic number.

It is an amenable number.

208816965 is an abundant number, since it is smaller than the sum of its proper divisors (219122235).

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

208816965 is a wasteful number, since it uses less digits than its factorization.

208816965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22906 (or 22903 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 208816965 is about 14450.5005103630. The cubic root of 208816965 is about 593.2739232341.

The spelling of 208816965 in words is "two hundred eight million, eight hundred sixteen thousand, nine hundred sixty-five".