8125312 has 64 divisors (see below), whose sum is σ = 18421200. Its totient is φ = 3538944.

The previous prime is 8125309. The next prime is 8125319. The reversal of 8125312 is 2135218.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31488 + ... + 31744.

Almost surely, 2^8125312 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 8125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210600).

8125312 is an abundant number, since it is smaller than the sum of its proper divisors (10295888).

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

8125312 is a wasteful number, since it uses less digits than its factorization.

8125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 8125312 is about 2850.4932906429. The cubic root of 8125312 is about 201.0388611610.

The spelling of 8125312 in words is "eight million, one hundred twenty-five thousand, three hundred twelve".