288208161 has 24 divisors (see below), whose sum is σ = 423376200. Its totient is φ = 188891136.

The previous prime is 288208159. The next prime is 288208171. The reversal of 288208161 is 161802882.

It can be written as a sum of positive squares in 4 ways, for example, as 133056225 + 155151936 = 11535^2 + 12456^2 .

It is not a de Polignac number, because 288208161 - 2¹ = 288208159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288208171) 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 23 ways as a sum of consecutive naturals, for example, 294505 + ... + 295481.

It is an arithmetic number, because the mean of its divisors is an integer number (17640675).

Almost surely, 2^288208161 is an apocalyptic number.

It is an amenable number.

288208161 is a deficient number, since it is larger than the sum of its proper divisors (135168039).

288208161 is a wasteful number, since it uses less digits than its factorization.

288208161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 288208161 is about 16976.6946429510. The cubic root of 288208161 is about 660.5445162020.

It can be divided in two parts, 288208 and 161, that added together give a square (288369 = 537²).

The spelling of 288208161 in words is "two hundred eighty-eight million, two hundred eight thousand, one hundred sixty-one".