8157312 has 96 divisors (see below), whose sum is σ = 24040380. Its totient is φ = 2654208.

The previous prime is 8157311. The next prime is 8157313. The reversal of 8157312 is 2137518.

8157312 is a `hidden beast` number, since 81 + 573 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (8157311) and next prime (8157313).

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 576 = 2856^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8157311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84048 + ... + 84144.

Almost surely, 2^8157312 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 8157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020190).

8157312 is an abundant number, since it is smaller than the sum of its proper divisors (15883068).

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

8157312 is a wasteful number, since it uses less digits than its factorization.

8157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 8157312 is about 2856.1008385559. The cubic root of 8157312 is about 201.3024332600.

The spelling of 8157312 in words is "eight million, one hundred fifty-seven thousand, three hundred twelve".