288117 has 10 divisors (see below), whose sum is σ = 430518. Its totient is φ = 192024.

The previous prime is 288109. The next prime is 288137. The reversal of 288117 is 711882.

It can be written as a sum of positive squares in only one way, i.e., 194481 + 93636 = 441^2 + 306^2 .

It is not a de Polignac number, because 288117 - 2³ = 288109 is a prime.

It is a super-2 number, since 2×288117² = 166022811378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288117.

It is not an unprimeable number, because it can be changed into a prime (288137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1698 + ... + 1859.

2²⁸⁸¹¹⁷ is an apocalyptic number.

288117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

288117 is a deficient number, since it is larger than the sum of its proper divisors (142401).

288117 is an equidigital number, since it uses as much as digits as its factorization.

288117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3560 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 288117 is about 536.7653118449. The cubic root of 288117 is about 66.0474864868.

Adding to 288117 its reverse (711882), we get a palindrome (999999).

The spelling of 288117 in words is "two hundred eighty-eight thousand, one hundred seventeen".