208947972 has 48 divisors (see below), whose sum is σ = 500976000. Its totient is φ = 67741440.

The previous prime is 208947971. The next prime is 208947989. The reversal of 208947972 is 279749802.

It is not an unprimeable number, because it can be changed into a prime (208947971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294354 + ... + 295062.

It is an arithmetic number, because the mean of its divisors is an integer number (10437000).

Almost surely, 2^208947972 is an apocalyptic number.

It is an amenable number.

208947972 is an abundant number, since it is smaller than the sum of its proper divisors (292028028).

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

208947972 is a wasteful number, since it uses less digits than its factorization.

208947972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 208947972 is about 14455.0327567944. The cubic root of 208947972 is about 593.3979661388.

The spelling of 208947972 in words is "two hundred eight million, nine hundred forty-seven thousand, nine hundred seventy-two".