86288 has 10 divisors (see below), whose sum is σ = 167214. Its totient is φ = 43136.

The previous prime is 86287. The next prime is 86291. The reversal of 86288 is 88268.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 1024 = 292^2 + 32^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86288.

It is not an unprimeable number, because it can be changed into a prime (86287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2681 + ... + 2712.

2⁸⁶²⁸⁸ is an apocalyptic number.

It is an amenable number.

86288 is a deficient number, since it is larger than the sum of its proper divisors (80926).

86288 is a wasteful number, since it uses less digits than its factorization.

86288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5395 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 86288 is about 293.7481914838. The cubic root of 86288 is about 44.1892673381.

Adding to 86288 its sum of digits (32), we get a triangular number (86320 = T₄₁₅).

The spelling of 86288 in words is "eighty-six thousand, two hundred eighty-eight".