208484721 has 9 divisors (see below), whose sum is σ = 301207179. Its totient is φ = 138960936.

The previous prime is 208484711. The next prime is 208484743. The reversal of 208484721 is 127484802.

The square root of 208484721 is 14439.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 156125025 + 52359696 = 12495^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 208484721 - 2⁷ = 208484593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208484711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40911 + ... + 45723.

Almost surely, 2^208484721 is an apocalyptic number.

208484721 is the 14439-th square number.

208484721 is the 7220-th centered octagonal number.

It is an amenable number.

208484721 is a deficient number, since it is larger than the sum of its proper divisors (92722458).

208484721 is an frugal number, since it uses more digits than its factorization.

208484721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9632 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The cubic root of 208484721 is about 592.9591079223.

Multiplying 208484721 by its sum of digits (36), we get a square (7505449956 = 86634²).

The spelling of 208484721 in words is "two hundred eight million, four hundred eighty-four thousand, seven hundred twenty-one".