81288 has 24 divisors (see below), whose sum is σ = 220350. Its totient is φ = 27072.

The previous prime is 81283. The next prime is 81293. The reversal of 81288 is 88218.

It is an interprime number because it is at equal distance from previous prime (81283) and next prime (81293).

It can be written as a sum of positive squares in only one way, i.e., 79524 + 1764 = 282^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (81281) by changing a digit.

81288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 493 + ... + 636.

2⁸¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

81288 is an abundant number, since it is smaller than the sum of its proper divisors (139062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81288 is a wasteful number, since it uses less digits than its factorization.

81288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 81288 is about 285.1105048924. The cubic root of 81288 is about 43.3187064374.

It can be divided in two parts, 812 and 88, that added together give a square (900 = 30²).

The spelling of 81288 in words is "eighty-one thousand, two hundred eighty-eight".