86052 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 28000.

The previous prime is 86029. The next prime is 86069. The reversal of 86052 is 25068.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 802 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁸⁶⁰⁵² is an apocalyptic number.

It is an amenable number.

86052 is an abundant number, since it is smaller than the sum of its proper divisors (119580).

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 (102816).

86052 is a wasteful number, since it uses less digits than its factorization.

86052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 86052 is about 293.3462118385. The cubic root of 86052 is about 44.1489442761.

The spelling of 86052 in words is "eighty-six thousand, fifty-two".