8201312 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 3179520.

The previous prime is 8201311. The next prime is 8201321. The reversal of 8201312 is 2131028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174473 + ... + 174519.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^8201312 is an apocalyptic number.

8201312 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8201312 is an abundant number, since it is smaller than the sum of its proper divisors (12119968).

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

8201312 is a wasteful number, since it uses less digits than its factorization.

8201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8201312 is about 2863.7932886296. The cubic root of 8201312 is about 201.6637217732.

The spelling of 8201312 in words is "eight million, two hundred one thousand, three hundred twelve".