82193384 has 72 divisors (see below), whose sum is σ = 194596290. Its totient is φ = 32260032.

The previous prime is 82193383. The next prime is 82193387. The reversal of 82193384 is 48339128.

It can be written as a sum of positive squares in only one way, i.e., 79032100 + 3161284 = 8890^2 + 1778^2 .

It is not an unprimeable number, because it can be changed into a prime (82193381) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 647129 + ... + 647255.

Almost surely, 2^82193384 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 82193384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97298145).

82193384 is an abundant number, since it is smaller than the sum of its proper divisors (112402906).

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

82193384 is a wasteful number, since it uses less digits than its factorization.

82193384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 149 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 82193384 is about 9066.0566951680. The cubic root of 82193384 is about 434.7894061442.

The spelling of 82193384 in words is "eighty-two million, one hundred ninety-three thousand, three hundred eighty-four".