86148 has 18 divisors (see below), whose sum is σ = 217854. Its totient is φ = 28704.

The previous prime is 86143. The next prime is 86161. The reversal of 86148 is 84168.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 36864 = 222^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86148.

It is not an unprimeable number, because it can be changed into a prime (86143) by changing a digit.

86148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 5 ways as a sum of consecutive naturals, for example, 1161 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2⁸⁶¹⁴⁸ is an apocalyptic number.

It is an amenable number.

86148 is an abundant number, since it is smaller than the sum of its proper divisors (131706).

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

86148 is a wasteful number, since it uses less digits than its factorization.

86148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2398 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 86148 is about 293.5097954072. The cubic root of 86148 is about 44.1653557619.

It can be divided in two parts, 861 and 48, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 86148 in words is "eighty-six thousand, one hundred forty-eight".