288296 has 8 divisors (see below), whose sum is σ = 540570. Its totient is φ = 144144.

The previous prime is 288293. The next prime is 288307. The reversal of 288296 is 692882.

It can be written as a sum of positive squares in only one way, i.e., 280900 + 7396 = 530^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×288296² = 166229167232, which contains 22 as substring.

288296 is a modest number, since divided by 296 gives 288 as remainder.

It is not an unprimeable number, because it can be changed into a prime (288293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18011 + ... + 18026.

2²⁸⁸²⁹⁶ is an apocalyptic number.

It is an amenable number.

288296 is a deficient number, since it is larger than the sum of its proper divisors (252274).

288296 is a wasteful number, since it uses less digits than its factorization.

288296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36043 (or 36039 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 288296 is about 536.9320254930. The cubic root of 288296 is about 66.0611615477.

Subtracting from 288296 its product of digits (13824), we obtain a palindrome (274472).

It can be divided in two parts, 2882 and 96, that multiplied together give a palindrome (276672).

The spelling of 288296 in words is "two hundred eighty-eight thousand, two hundred ninety-six".