208815841 has 8 divisors (see below), whose sum is σ = 225757224. Its totient is φ = 192000000.

The previous prime is 208815839. The next prime is 208815847. The reversal of 208815841 is 148518802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131446225 + 77369616 = 11465^2 + 8796^2 .

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

It is a 6-Lehmer number, since φ(208815841) divides (208815841-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 208815841 - 2¹ = 208815839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 208815841.

It is not an unprimeable number, because it can be changed into a prime (208815847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27910 + ... + 34591.

It is an arithmetic number, because the mean of its divisors is an integer number (28219653).

Almost surely, 2^208815841 is an apocalyptic number.

It is an amenable number.

208815841 is a deficient number, since it is larger than the sum of its proper divisors (16941383).

208815841 is a wasteful number, since it uses less digits than its factorization.

208815841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62771.

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 208815841 is about 14450.4616189242. The cubic root of 208815841 is about 593.2728587595.

The spelling of 208815841 in words is "two hundred eight million, eight hundred fifteen thousand, eight hundred forty-one".