87852 has 12 divisors (see below), whose sum is σ = 205016. Its totient is φ = 29280.

The previous prime is 87833. The next prime is 87853. The reversal of 87852 is 25878.

87852 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87852.

It is not an unprimeable number, because it can be changed into a prime (87853) by changing a digit.

87852 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 3 ways as a sum of consecutive naturals, for example, 3649 + ... + 3672.

2⁸⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

87852 is an abundant number, since it is smaller than the sum of its proper divisors (117164).

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 (102508).

87852 is a wasteful number, since it uses less digits than its factorization.

87852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7326 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 87852 is about 296.3983805624. The cubic root of 87852 is about 44.4546522849.

It can be divided in two parts, 87 and 852, that added together give a palindrome (939).

The spelling of 87852 in words is "eighty-seven thousand, eight hundred fifty-two".