8125218 has 64 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 2486016.

The previous prime is 8125211. The next prime is 8125223.

8125218 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 8125191 and 8125200.

It is not an unprimeable number, because it can be changed into a prime (8125211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48571 + ... + 48737.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^8125218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

8125218 is an abundant number, since it is smaller than the sum of its proper divisors (11470302).

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

8125218 is a wasteful number, since it uses less digits than its factorization.

8125218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 8125218 is about 2850.4768022210. The cubic root of 8125218 is about 201.0380858995.

The spelling of 8125218 in words is "eight million, one hundred twenty-five thousand, two hundred eighteen".