288353 has 8 divisors (see below), whose sum is σ = 318696. Its totient is φ = 259200.

The previous prime is 288349. The next prime is 288359. The reversal of 288353 is 353882.

It can be written as a sum of positive squares in 4 ways, for example, as 5329 + 283024 = 73^2 + 532^2 .

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 288353 - 2² = 288349 is a prime.

It is a Duffinian number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (39837).

2²⁸⁸³⁵³ is an apocalyptic number.

It is an amenable number.

288353 is a deficient number, since it is larger than the sum of its proper divisors (30343).

288353 is a wasteful number, since it uses less digits than its factorization.

288353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595.

The product of its digits is 5760, while the sum is 29.

The square root of 288353 is about 536.9851022142. The cubic root of 288353 is about 66.0655149878.

The spelling of 288353 in words is "two hundred eighty-eight thousand, three hundred fifty-three".