20288 has 14 divisors (see below), whose sum is σ = 40386. Its totient is φ = 10112.

The previous prime is 20287. The next prime is 20297. The reversal of 20288 is 88202.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 7744 = 112^2 + 88^2 .

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 20288.

It is not an unprimeable number, because it can be changed into a prime (20287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 95 + ... + 222.

2²⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

20288 is a deficient number, since it is larger than the sum of its proper divisors (20098).

20288 is an equidigital number, since it uses as much as digits as its factorization.

20288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20288 is about 142.4359505181. The cubic root of 20288 is about 27.2738477654.

The spelling of 20288 in words is "twenty thousand, two hundred eighty-eight".