82567242 has 32 divisors (see below), whose sum is σ = 184670400. Its totient is φ = 27344304.

The previous prime is 82567241. The next prime is 82567259. The reversal of 82567242 is 24276528.

It is a junction number, because it is equal to n+sod(n) for n = 82567197 and 82567206.

It is not an unprimeable number, because it can be changed into a prime (82567241) 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 15 ways as a sum of consecutive naturals, for example, 3609 + ... + 13347.

It is an arithmetic number, because the mean of its divisors is an integer number (5770950).

Almost surely, 2^82567242 is an apocalyptic number.

82567242 is an abundant number, since it is smaller than the sum of its proper divisors (102103158).

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

82567242 is a wasteful number, since it uses less digits than its factorization.

82567242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 9901 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 82567242 is about 9086.6518586331. The cubic root of 82567242 is about 435.4476248383.

The spelling of 82567242 in words is "eighty-two million, five hundred sixty-seven thousand, two hundred forty-two".