288733 has 2 divisors, whose sum is σ = 288734. Its totient is φ = 288732.

The previous prime is 288731. The next prime is 288751. The reversal of 288733 is 337882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 31684 = 507^2 + 178^2 .

It is a cyclic number.

It is not a de Polignac number, because 288733 - 2¹ = 288731 is a prime.

Together with 288731, it forms a pair of twin primes.

288733 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 288695 and 288704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144366 + 144367.

It is an arithmetic number, because the mean of its divisors is an integer number (144367).

2²⁸⁸⁷³³ is an apocalyptic number.

It is an amenable number.

288733 is a deficient number, since it is larger than the sum of its proper divisors (1).

288733 is an equidigital number, since it uses as much as digits as its factorization.

288733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 31.

The square root of 288733 is about 537.3388130407. The cubic root of 288733 is about 66.0945232702.

The spelling of 288733 in words is "two hundred eighty-eight thousand, seven hundred thirty-three".