288993 has 4 divisors (see below), whose sum is σ = 385328. Its totient is φ = 192660.

The previous prime is 288991. The next prime is 288997. The reversal of 288993 is 399882.

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.

It is not a de Polignac number, because 288993 - 2¹ = 288991 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48163 + ... + 48168.

It is an arithmetic number, because the mean of its divisors is an integer number (96332).

2²⁸⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

288993 is a deficient number, since it is larger than the sum of its proper divisors (96335).

288993 is an equidigital number, since it uses as much as digits as its factorization.

288993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96334.

The product of its digits is 31104, while the sum is 39.

The square root of 288993 is about 537.5806916175. The cubic root of 288993 is about 66.1143563807.

Subtracting 288993 from its reverse (399882), we obtain a square (110889 = 333²).

The spelling of 288993 in words is "two hundred eighty-eight thousand, nine hundred ninety-three".