8125164 has 48 divisors (see below), whose sum is σ = 21987840. Its totient is φ = 2589840.

The previous prime is 8125153. The next prime is 8125177. The reversal of 8125164 is 4615218.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (458080).

Almost surely, 2^8125164 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 8125164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993920).

8125164 is an abundant number, since it is smaller than the sum of its proper divisors (13862676).

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

8125164 is a wasteful number, since it uses less digits than its factorization.

8125164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3299 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8125164 is about 2850.4673301057. The cubic root of 8125164 is about 201.0376405337.

The spelling of 8125164 in words is "eight million, one hundred twenty-five thousand, one hundred sixty-four".