82314048 has 56 divisors (see below), whose sum is σ = 223694752. Its totient is φ = 26694144.

The previous prime is 82314047. The next prime is 82314049. The reversal of 82314048 is 84041328.

It is an interprime number because it is at equal distance from previous prime (82314047) and next prime (82314049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82314047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 12897.

Almost surely, 2^82314048 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 82314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847376).

82314048 is an abundant number, since it is smaller than the sum of its proper divisors (141380704).

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

82314048 is a wasteful number, since it uses less digits than its factorization.

82314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82314048 is about 9072.7089670065. The cubic root of 82314048 is about 435.0020663133.

The spelling of 82314048 in words is "eighty-two million, three hundred fourteen thousand, forty-eight".