82735133 has 6 divisors (see below), whose sum is σ = 89589114. Its totient is φ = 76370736.

The previous prime is 82735099. The next prime is 82735183. The reversal of 82735133 is 33153728.

It can be written as a sum of positive squares in 3 ways, for example, as 5769604 + 76965529 = 2402^2 + 8773^2 .

It is not a de Polignac number, because 82735133 - 2¹⁴ = 82718749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82735133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82735183) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 244610 + ... + 244947.

It is an arithmetic number, because the mean of its divisors is an integer number (14931519).

Almost surely, 2^82735133 is an apocalyptic number.

It is an amenable number.

82735133 is a deficient number, since it is larger than the sum of its proper divisors (6853981).

82735133 is a wasteful number, since it uses less digits than its factorization.

82735133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489583 (or 489570 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 82735133 is about 9095.8854983998. The cubic root of 82735133 is about 435.7425692547.

The spelling of 82735133 in words is "eighty-two million, seven hundred thirty-five thousand, one hundred thirty-three".