86238 has 16 divisors (see below), whose sum is σ = 191760. Its totient is φ = 28728.

The previous prime is 86209. The next prime is 86239. The reversal of 86238 is 83268.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86239) by changing a digit.

86238 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 7 ways as a sum of consecutive naturals, for example, 745 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (11985).

2⁸⁶²³⁸ is an apocalyptic number.

86238 is an abundant number, since it is smaller than the sum of its proper divisors (105522).

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 (95880).

86238 is a wasteful number, since it uses less digits than its factorization.

86238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 86238 is about 293.6630722444. The cubic root of 86238 is about 44.1807304605.

It can be divided in two parts, 862 and 38, that added together give a square (900 = 30²).

The spelling of 86238 in words is "eighty-six thousand, two hundred thirty-eight".