288953 has 6 divisors (see below), whose sum is σ = 336186. Its totient is φ = 247632.

The previous prime is 288947. The next prime is 288973. The reversal of 288953 is 359882.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 5929 = 532^2 + 77^2 .

It is not a de Polignac number, because 288953 - 2⁸ = 288697 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 8³ + 9⁵ + 8³ + 5⁷ + 3⁹ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288913) 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, 2900 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (56031).

2²⁸⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

288953 is a deficient number, since it is larger than the sum of its proper divisors (47233).

288953 is an equidigital number, since it uses as much as digits as its factorization.

288953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5904 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 288953 is about 537.5434866129. The cubic root of 288953 is about 66.1113059074. Note that the first 3 decimals are identical.

It can be divided in two parts, 2 and 88953, that multiplied together give a triangular number (177906 = T₅₉₆).

The spelling of 288953 in words is "two hundred eighty-eight thousand, nine hundred fifty-three".