86142 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 24528.

The previous prime is 86137. The next prime is 86143. The reversal of 86142 is 24168.

Subtracting from 86142 its product of digits (384), we obtain a palindrome (85758).

It can be divided in two parts, 861 and 42, that added together give a triangular number (903 = T_{42}).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

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

86142 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 11 ways as a sum of consecutive naturals, for example, 148 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

86142 is a Friedman number, since it can be written as 21*(8^4+6), using all its digits and the basic arithmetic operations.

2^{86142} is an apocalyptic number.

It is a pronic number, being equal to 293×294.

It is a practical number, because each smaller number is the sum of distinct divisors of 86142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

86142 is an abundant number, since it is smaller than the sum of its proper divisors (114954).

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

86142 is a wasteful number, since it uses less digits than its factorization.

86142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 86142 is about 293.4995741053. The cubic root of 86142 is about 44.1643304013.

The spelling of 86142 in words is "eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 293 294 586 879 1758 2051 4102 6153 12306 14357 28714 43071 86142

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