82245834 has 32 divisors (see below), whose sum is σ = 199385280. Its totient is φ = 24922800.

The previous prime is 82245797. The next prime is 82245869. The reversal of 82245834 is 43854228.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68637 + ... + 69824.

It is an arithmetic number, because the mean of its divisors is an integer number (6230790).

Almost surely, 2^82245834 is an apocalyptic number.

82245834 is an abundant number, since it is smaller than the sum of its proper divisors (117139446).

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

82245834 is a wasteful number, since it uses less digits than its factorization.

82245834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138483 (or 138477 counting only the distinct ones).

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

The square root of 82245834 is about 9068.9488916853. The cubic root of 82245834 is about 434.8818704204.

It can be divided in two parts, 822 and 45834, that added together give a 6-th power (46656 = 6⁶).

The spelling of 82245834 in words is "eighty-two million, two hundred forty-five thousand, eight hundred thirty-four".