82733826 has 32 divisors (see below), whose sum is σ = 189560448. Its totient is φ = 23581440.

The previous prime is 82733821. The next prime is 82733851. The reversal of 82733826 is 62833728.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82733821) 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, 17226 + ... + 21498.

It is an arithmetic number, because the mean of its divisors is an integer number (5923764).

Almost surely, 2^82733826 is an apocalyptic number.

82733826 is an abundant number, since it is smaller than the sum of its proper divisors (106826622).

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

82733826 is a wasteful number, since it uses less digits than its factorization.

82733826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746.

The product of its digits is 96768, while the sum is 39.

The square root of 82733826 is about 9095.8136524447. The cubic root of 82733826 is about 435.7402747094.

The spelling of 82733826 in words is "eighty-two million, seven hundred thirty-three thousand, eight hundred twenty-six".