86952 has 16 divisors (see below), whose sum is σ = 217440.
Its totient is φ = 28976.
The previous prime is 86951. The next prime is 86959. The reversal of 86952 is 25968.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86951) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1788 + ... + 1835.
It is an arithmetic number, because the mean of its divisors is an integer number (13590).
286952 is an apocalyptic number.
It is an amenable number.
86952 is an abundant number, since it is smaller than the sum of its proper divisors (130488).
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 (108720).
86952 is a wasteful number, since it uses less digits than its factorization.
86952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).
The product of its digits is 4320, while the sum is 30.
The square root of 86952 is about 294.8762452284.
The cubic root of 86952 is about 44.3023256647.
The spelling of 86952 in words is "eighty-six thousand, nine hundred fifty-two".