86824 has 8 divisors (see below), whose sum is σ = 162810. Its totient is φ = 43408.

The previous prime is 86813. The next prime is 86837. The reversal of 86824 is 42868.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 13924 = 270^2 + 118^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 86792 and 86801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419 + ... + 5434.

2⁸⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

86824 is a deficient number, since it is larger than the sum of its proper divisors (75986).

86824 is a wasteful number, since it uses less digits than its factorization.

86824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10855 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 86824 is about 294.6591250920. The cubic root of 86824 is about 44.2805761840.

Subtracting from 86824 its reverse (42868), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 86824 in words is "eighty-six thousand, eight hundred twenty-four".