82133766 has 96 divisors (see below), whose sum is σ = 221483808. Its totient is φ = 21611520.

The previous prime is 82133719. The next prime is 82133797. The reversal of 82133766 is 66733128.

82133766 = T₃₁₀₀ + T₃₁₀₁ + ... + T₃₁₁₆.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82133766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42820 + ... + 44696.

It is an arithmetic number, because the mean of its divisors is an integer number (2307123).

Almost surely, 2^82133766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82133766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110741904).

82133766 is an abundant number, since it is smaller than the sum of its proper divisors (139350042).

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

82133766 is a wasteful number, since it uses less digits than its factorization.

82133766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1923 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82133766 is about 9062.7681201717. The cubic root of 82133766 is about 434.6842575977.

The spelling of 82133766 in words is "eighty-two million, one hundred thirty-three thousand, seven hundred sixty-six".