86152 has 24 divisors (see below), whose sum is σ = 179550. Its totient is φ = 38720.

The previous prime is 86143. The next prime is 86161. The reversal of 86152 is 25168.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86143) and next prime (86161).

It can be written as a sum of positive squares in only one way, i.e., 81796 + 4356 = 286^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 14.

It is an unprimeable 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, 924 + ... + 1012.

2⁸⁶¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89775).

86152 is an abundant number, since it is smaller than the sum of its proper divisors (93398).

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

86152 is a wasteful number, since it uses less digits than its factorization.

86152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 86152 is about 293.5166094108. The cubic root of 86152 is about 44.1660393092.

86152 divided by its sum of digits (22) gives a triangular number (3916 = T₈₈).

The spelling of 86152 in words is "eighty-six thousand, one hundred fifty-two".