82148384 has 24 divisors (see below), whose sum is σ = 161982828. Its totient is φ = 41009920.

The previous prime is 82148377. The next prime is 82148389. The reversal of 82148384 is 48384128.

It can be written as a sum of positive squares in 2 ways, for example, as 80640400 + 1507984 = 8980^2 + 1228^2 .

It is a super-3 number, since 3×82148384³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (82148389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23894 + ... + 27114.

Almost surely, 2^82148384 is an apocalyptic number.

It is an amenable number.

82148384 is a deficient number, since it is larger than the sum of its proper divisors (79834444).

82148384 is a wasteful number, since it uses less digits than its factorization.

82148384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4020 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 82148384 is about 9063.5745707750. The cubic root of 82148384 is about 434.7100441402.

The spelling of 82148384 in words is "eighty-two million, one hundred forty-eight thousand, three hundred eighty-four".