288057 has 32 divisors (see below), whose sum is σ = 506880. Its totient is φ = 141120.

The previous prime is 288053. The next prime is 288061. The reversal of 288057 is 750882.

It is an interprime number because it is at equal distance from previous prime (288053) and next prime (288061).

It is not a de Polignac number, because 288057 - 2² = 288053 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288057.

It is not an unprimeable number, because it can be changed into a prime (288053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6678 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2²⁸⁸⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

288057 is a deficient number, since it is larger than the sum of its proper divisors (218823).

288057 is a wasteful number, since it uses less digits than its factorization.

288057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 288057 is about 536.7094185870. The cubic root of 288057 is about 66.0429014001.

The spelling of 288057 in words is "two hundred eighty-eight thousand, fifty-seven".