82566042 has 64 divisors (see below), whose sum is σ = 191165184. Its totient is φ = 23546880.

The previous prime is 82566041. The next prime is 82566047. The reversal of 82566042 is 24066528.

It is a junction number, because it is equal to n+sod(n) for n = 82565994 and 82566012.

It is not an unprimeable number, because it can be changed into a prime (82566041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93708 + ... + 94584.

It is an arithmetic number, because the mean of its divisors is an integer number (2986956).

Almost surely, 2^82566042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82566042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95582592).

82566042 is an abundant number, since it is smaller than the sum of its proper divisors (108599142).

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

82566042 is a wasteful number, since it uses less digits than its factorization.

82566042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 82566042 is about 9086.5858274712. The cubic root of 82566042 is about 435.4455152862.

The spelling of 82566042 in words is "eighty-two million, five hundred sixty-six thousand, forty-two".