82271133 has 40 divisors (see below), whose sum is σ = 143922240. Its totient is φ = 45852480.

The previous prime is 82271113. The next prime is 82271171. The reversal of 82271133 is 33117228.

It is not a de Polignac number, because 82271133 - 2¹³ = 82262941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82271097 and 82271106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82271113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21478 + ... + 25016.

It is an arithmetic number, because the mean of its divisors is an integer number (3598056).

Almost surely, 2^82271133 is an apocalyptic number.

It is an amenable number.

82271133 is a deficient number, since it is larger than the sum of its proper divisors (61651107).

82271133 is a wasteful number, since it uses less digits than its factorization.

82271133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3590 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 82271133 is about 9070.3435987839. The cubic root of 82271133 is about 434.9264560568.

The spelling of 82271133 in words is "eighty-two million, two hundred seventy-one thousand, one hundred thirty-three".