89782 has 24 divisors (see below), whose sum is σ = 172368. Its totient is φ = 34320.

The previous prime is 89779. The next prime is 89783. The reversal of 89782 is 28798.

It is a happy number.

Its product of digits (8064) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1668 + ... + 1720.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁸⁹⁷⁸² is an apocalyptic number.

89782 is a deficient number, since it is larger than the sum of its proper divisors (82586).

89782 is a wasteful number, since it uses less digits than its factorization.

89782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 89782 is about 299.6364463813. The cubic root of 89782 is about 44.7778350177. Note that the first 3 decimals are identical.

Subtracting from 89782 its product of digits (8064), we obtain a palindrome (81718).

It can be divided in two parts, 8978 and 2, that multiplied together give a square (17956 = 134²).

The spelling of 89782 in words is "eighty-nine thousand, seven hundred eighty-two".