96771312 has 120 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 29082240.

The previous prime is 96771263. The next prime is 96771319. The reversal of 96771312 is 21317769.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96771319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315063 + ... + 315369.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^96771312 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 96771312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

96771312 is an abundant number, since it is smaller than the sum of its proper divisors (201126288).

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

96771312 is a wasteful number, since it uses less digits than its factorization.

96771312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 96771312 is about 9837.2410766434. The cubic root of 96771312 is about 459.1087215934.

The spelling of 96771312 in words is "ninety-six million, seven hundred seventy-one thousand, three hundred twelve".