82427302314 has 96 divisors (see below), whose sum is σ = 216436821120. Its totient is φ = 22132002816.

The previous prime is 82427302213. The next prime is 82427302333. The reversal of 82427302314 is 41320372428.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412977 + ... + 1470155.

It is an arithmetic number, because the mean of its divisors is an integer number (2254550220).

Almost surely, 2^82427302314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82427302314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108218410560).

82427302314 is an abundant number, since it is smaller than the sum of its proper divisors (134009518806).

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

82427302314 is a wasteful number, since it uses less digits than its factorization.

82427302314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57884 (or 57881 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 82427302314 in words is "eighty-two billion, four hundred twenty-seven million, three hundred two thousand, three hundred fourteen".