87850 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 30000.

The previous prime is 87833. The next prime is 87853. The reversal of 87850 is 5878.

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

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁸⁷⁸⁵⁰ is an apocalyptic number.

87850 is an abundant number, since it is smaller than the sum of its proper divisors (99638).

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 (93744).

87850 is a wasteful number, since it uses less digits than its factorization.

87850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 87850 is about 296.3950067056. The cubic root of 87850 is about 44.4543149374.

Adding to 87850 its sum of digits (28), we get a palindrome (87878).

The spelling of 87850 in words is "eighty-seven thousand, eight hundred fifty".