82733211 has 16 divisors (see below), whose sum is σ = 133710720. Its totient is φ = 50141160.

The previous prime is 82733197. The next prime is 82733213. The reversal of 82733211 is 11233728.

It is not a de Polignac number, because 82733211 - 2¹⁰ = 82732187 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (82733213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138985 + ... + 139578.

It is an arithmetic number, because the mean of its divisors is an integer number (8356920).

Almost surely, 2^82733211 is an apocalyptic number.

82733211 is a deficient number, since it is larger than the sum of its proper divisors (50977509).

82733211 is a wasteful number, since it uses less digits than its factorization.

82733211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278583 (or 278577 counting only the distinct ones).

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

The square root of 82733211 is about 9095.7798456207. The cubic root of 82733211 is about 435.7391950183.

Adding to 82733211 its reverse (11233728), we get a palindrome (93966939).

It can be divided in two parts, 82733 and 211, that added together give a square (82944 = 288²).

The spelling of 82733211 in words is "eighty-two million, seven hundred thirty-three thousand, two hundred eleven".