288673 has 16 divisors (see below), whose sum is σ = 377856. Its totient is φ = 213840.

The previous prime is 288661. The next prime is 288679. The reversal of 288673 is 376882.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-288673 is a prime.

It is a Duffinian number.

288673 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 1852.

It is an arithmetic number, because the mean of its divisors is an integer number (23616).

2²⁸⁸⁶⁷³ is an apocalyptic number.

288673 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

288673 is a deficient number, since it is larger than the sum of its proper divisors (89183).

288673 is a wasteful number, since it uses less digits than its factorization.

288673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 16128, while the sum is 34.

The square root of 288673 is about 537.2829794438. The cubic root of 288673 is about 66.0899447079.

Subtracting 288673 from its reverse (376882), we obtain a square (88209 = 297²).

It can be divided in two parts, 288 and 673, that added together give a square (961 = 31²).

The spelling of 288673 in words is "two hundred eighty-eight thousand, six hundred seventy-three".