88284 has 24 divisors (see below), whose sum is σ = 235648. Its totient is φ = 25200.

The previous prime is 88261. The next prime is 88289. The reversal of 88284 is 48288.

88284 = T₆₅ + T₆₆ + ... + T₉₂.

It is a nialpdrome in base 12.

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 88284.

It is not an unprimeable number, because it can be changed into a prime (88289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 609.

2⁸⁸²⁸⁴ is an apocalyptic number.

88284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

88284 is an abundant number, since it is smaller than the sum of its proper divisors (147364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117824).

88284 is a wasteful number, since it uses less digits than its factorization.

88284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 88284 is about 297.1262357989. The cubic root of 88284 is about 44.5273996979.

It can be divided in two parts, 882 and 84, that multiplied together give a cube (74088 = 42³).

The spelling of 88284 in words is "eighty-eight thousand, two hundred eighty-four".