82384038 has 96 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 23198400.

The previous prime is 82384033. The next prime is 82384039. The reversal of 82384038 is 83048328.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82383993 and 82384011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82384033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229303 + ... + 229661.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^82384038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82384038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

82384038 is an abundant number, since it is smaller than the sum of its proper divisors (126531162).

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

82384038 is a wasteful number, since it uses less digits than its factorization.

82384038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82384038 is about 9076.5653195468. The cubic root of 82384038 is about 435.1253225913.

The spelling of 82384038 in words is "eighty-two million, three hundred eighty-four thousand, thirty-eight".