82384290 has 64 divisors (see below), whose sum is σ = 222462720. Its totient is φ = 21963312.

The previous prime is 82384277. The next prime is 82384297. The reversal of 82384290 is 9248328.

It is not an unprimeable number, because it can be changed into a prime (82384297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19987 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (3475980).

Almost surely, 2^82384290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82384290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111231360).

82384290 is an abundant number, since it is smaller than the sum of its proper divisors (140078430).

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

82384290 is an equidigital number, since it uses as much as digits as its factorization.

82384290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82384290 is about 9076.5792014393. The cubic root of 82384290 is about 435.1257662512.

The spelling of 82384290 in words is "eighty-two million, three hundred eighty-four thousand, two hundred ninety".