288101 has 6 divisors (see below), whose sum is σ = 316806. Its totient is φ = 261800.

The previous prime is 288089. The next prime is 288109. The reversal of 288101 is 101882.

It can be written as a sum of positive squares in only one way, i.e., 148225 + 139876 = 385^2 + 374^2 .

It is a de Polignac number, because none of the positive numbers 2^k-288101 is a prime.

It is a cake number, because a cake can be divided into 288101 parts by 120 planar cuts.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288101.

It is not an unprimeable number, because it can be changed into a prime (288109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1070 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (52801).

2²⁸⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

288101 is a deficient number, since it is larger than the sum of its proper divisors (28705).

288101 is a wasteful number, since it uses less digits than its factorization.

288101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 288101 is about 536.7504075453. The cubic root of 288101 is about 66.0462638593.

Adding to 288101 its reverse (101882), we get a palindrome (389983).

The spelling of 288101 in words is "two hundred eighty-eight thousand, one hundred one".