288575 has 24 divisors (see below), whose sum is σ = 437472. Its totient is φ = 184320.

The previous prime is 288571. The next prime is 288577. The reversal of 288575 is 575882.

288575 = T₁₉₆ + T₁₉₇ + ... + T₂₀₉.

It is not a de Polignac number, because 288575 - 2² = 288571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2927 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2²⁸⁸⁵⁷⁵ is an apocalyptic number.

288575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288575 is a deficient number, since it is larger than the sum of its proper divisors (148897).

288575 is a wasteful number, since it uses less digits than its factorization.

288575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 288575 is about 537.1917720889. The cubic root of 288575 is about 66.0824650248.

It can be divided in two parts, 288 and 575, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 288575 in words is "two hundred eighty-eight thousand, five hundred seventy-five".