8874 has 24 divisors (see below), whose sum is σ = 21060. Its totient is φ = 2688.

The previous prime is 8867. The next prime is 8887. The reversal of 8874 is 4788.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 225 = 93^2 + 15^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8874.

It is an unprimeable number.

8874 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 11 ways as a sum of consecutive naturals, for example, 292 + ... + 320.

It is a practical number, because each smaller number is the sum of distinct divisors of 8874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530).

8874 is an abundant number, since it is smaller than the sum of its proper divisors (12186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8874 is a wasteful number, since it uses less digits than its factorization.

8874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 8874 is about 94.2019108086. The cubic root of 8874 is about 20.7033110995.

The spelling of 8874 in words is "eight thousand, eight hundred seventy-four".