288769 has 8 divisors (see below), whose sum is σ = 315560. Its totient is φ = 262656.

The previous prime is 288767. The next prime is 288773. The reversal of 288769 is 967882.

It can be written as a sum of positive squares in 4 ways, for example, as 50625 + 238144 = 225^2 + 488^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288769 - 2¹ = 288767 is a prime.

It is a super-2 number, since 2×288769² = 166775070722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (39445).

It is a Proth number, since it is equal to 141 ⋅ 2¹¹ + 1 and 141 < 2¹¹.

2²⁸⁸⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

288769 is a deficient number, since it is larger than the sum of its proper divisors (26791).

288769 is a wasteful number, since it uses less digits than its factorization.

288769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its digits is 48384, while the sum is 40.

The square root of 288769 is about 537.3723104143. The cubic root of 288769 is about 66.0972701032.

The spelling of 288769 in words is "two hundred eighty-eight thousand, seven hundred sixty-nine".