87052 has 12 divisors (see below), whose sum is σ = 174160. Its totient is φ = 37296.

The previous prime is 87049. The next prime is 87071. The reversal of 87052 is 25078.

87052 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1527 + ... + 1582.

2⁸⁷⁰⁵² is an apocalyptic number.

It is an amenable number.

87052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (87080).

87052 is a wasteful number, since it uses less digits than its factorization.

87052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 87052 is about 295.0457591629. The cubic root of 87052 is about 44.3193025995.

The spelling of 87052 in words is "eighty-seven thousand, fifty-two".