288901 has 4 divisors (see below), whose sum is σ = 290304. Its totient is φ = 287500.

The previous prime is 288877. The next prime is 288907. The reversal of 288901 is 109882.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 109882 = 2 ⋅54941.

It is a cyclic number.

It is not a de Polignac number, because 288901 - 2⁷ = 288773 is a prime.

It is a Duffinian number.

288901 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 288901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288907) 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 3 ways as a sum of consecutive naturals, for example, 325 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2²⁸⁸⁹⁰¹ is an apocalyptic number.

It is an amenable number.

288901 is a deficient number, since it is larger than the sum of its proper divisors (1403).

288901 is a wasteful number, since it uses less digits than its factorization.

288901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 288901 is about 537.4951162569. The cubic root of 288901 is about 66.1073398712.

The spelling of 288901 in words is "two hundred eighty-eight thousand, nine hundred one".