8289952 has 36 divisors (see below), whose sum is σ = 17947818. Its totient is φ = 3766400.

The previous prime is 8289949. The next prime is 8289997. The reversal of 8289952 is 2599828.

8289952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5035536 + 3254416 = 2244^2 + 1804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8289899 and 8289908.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2802 + ... + 4942.

Almost surely, 2^8289952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973909).

8289952 is an abundant number, since it is smaller than the sum of its proper divisors (9657866).

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

8289952 is a wasteful number, since it uses less digits than its factorization.

8289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2154 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 8289952 is about 2879.2276742210. The cubic root of 8289952 is about 202.3876488997.

The spelling of 8289952 in words is "eight million, two hundred eighty-nine thousand, nine hundred fifty-two".