288261 has 6 divisors (see below), whose sum is σ = 416390. Its totient is φ = 192168.

The previous prime is 288257. The next prime is 288283. The reversal of 288261 is 162882.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 136161 = 390^2 + 369^2 .

It is not a de Polignac number, because 288261 - 2² = 288257 is a prime.

It is a d-powerful number, because it can be written as 2² + 8² + 2¹³ + 8² + 6⁷ + 1 .

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16006 + ... + 16023.

2²⁸⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

288261 is a deficient number, since it is larger than the sum of its proper divisors (128129).

288261 is a wasteful number, since it uses less digits than its factorization.

288261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32035 (or 32032 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 288261 is about 536.8994319237. The cubic root of 288261 is about 66.0584880984.

The spelling of 288261 in words is "two hundred eighty-eight thousand, two hundred sixty-one".