82765312 has 60 divisors (see below), whose sum is σ = 192426300. Its totient is φ = 35460096.

The previous prime is 82765303. The next prime is 82765313. The reversal of 82765312 is 21356728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82765313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23439 + ... + 26737.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^82765312 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 82765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96213150).

82765312 is an abundant number, since it is smaller than the sum of its proper divisors (109660988).

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

82765312 is an equidigital number, since it uses as much as digits as its factorization.

82765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3308 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 82765312 is about 9097.5442840362. The cubic root of 82765312 is about 435.7955442361.

The spelling of 82765312 in words is "eighty-two million, seven hundred sixty-five thousand, three hundred twelve".