288965 has 4 divisors (see below), whose sum is σ = 346764. Its totient is φ = 231168.

The previous prime is 288947. The next prime is 288973. The reversal of 288965 is 569882.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 160801 + 128164 = 401^2 + 358^2 .

It is a cyclic number.

It is not a de Polignac number, because 288965 - 2¹⁴ = 272581 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28892 + ... + 28901.

It is an arithmetic number, because the mean of its divisors is an integer number (86691).

2²⁸⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

288965 is a deficient number, since it is larger than the sum of its proper divisors (57799).

288965 is an equidigital number, since it uses as much as digits as its factorization.

288965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57798.

The product of its digits is 34560, while the sum is 38.

The square root of 288965 is about 537.5546483847. The cubic root of 288965 is about 66.1122210790.

The spelling of 288965 in words is "two hundred eighty-eight thousand, nine hundred sixty-five".