82357338 has 96 divisors (see below), whose sum is σ = 201489984. Its totient is φ = 22353408.

The previous prime is 82357313. The next prime is 82357339. The reversal of 82357338 is 83375328.

It is a super-2 number, since 2×82357338² = 13565462244892488, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82357296 and 82357305.

It is not an unprimeable number, because it can be changed into a prime (82357339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728770 + ... + 728882.

It is an arithmetic number, because the mean of its divisors is an integer number (2098854).

Almost surely, 2^82357338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82357338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100744992).

82357338 is an abundant number, since it is smaller than the sum of its proper divisors (119132646).

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

82357338 is a wasteful number, since it uses less digits than its factorization.

82357338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 82357338 is about 9075.0943796745. The cubic root of 82357338 is about 435.0783106470.

The spelling of 82357338 in words is "eighty-two million, three hundred fifty-seven thousand, three hundred thirty-eight".