208964147 has 16 divisors (see below), whose sum is σ = 254937600. Its totient is φ = 167287680.

The previous prime is 208964141. The next prime is 208964159. The reversal of 208964147 is 741469802.

It is not a de Polignac number, because 208964147 - 2¹⁶ = 208898611 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208964141) 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 15 ways as a sum of consecutive naturals, for example, 1622 + ... + 20507.

It is an arithmetic number, because the mean of its divisors is an integer number (15933600).

Almost surely, 2^208964147 is an apocalyptic number.

208964147 is a deficient number, since it is larger than the sum of its proper divisors (45973453).

208964147 is a wasteful number, since it uses less digits than its factorization.

208964147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22226.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 208964147 is about 14455.5922396836. The cubic root of 208964147 is about 593.4132777087.

The spelling of 208964147 in words is "two hundred eight million, nine hundred sixty-four thousand, one hundred forty-seven".