82438542 has 48 divisors (see below), whose sum is σ = 191994192. Its totient is φ = 25470720.

The previous prime is 82438541. The next prime is 82438567. The reversal of 82438542 is 24583428.

82438542 is a `hidden beast` number, since 82 + 4 + 38 + 542 = 666.

It is a super-2 number, since 2×82438542² = 13592226414171528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82438497 and 82438506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82438541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18492 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (3999879).

Almost surely, 2^82438542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82438542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95997096).

82438542 is an abundant number, since it is smaller than the sum of its proper divisors (109555650).

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

82438542 is a wasteful number, since it uses less digits than its factorization.

82438542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4110 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82438542 is about 9079.5672804380. The cubic root of 82438542 is about 435.2212588229.

The spelling of 82438542 in words is "eighty-two million, four hundred thirty-eight thousand, five hundred forty-two".