82911033 has 20 divisors (see below), whose sum is σ = 124283940. Its totient is φ = 55082592.

The previous prime is 82911007. The next prime is 82911047. The reversal of 82911033 is 33011928.

It can be written as a sum of positive squares in 2 ways, for example, as 13155129 + 69755904 = 3627^2 + 8352^2 .

It is not a de Polignac number, because 82911033 - 2⁹ = 82910521 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 = 82910988 and 82911006.

It is not an unprimeable number, because it can be changed into a prime (82911233) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24063 + ... + 27291.

It is an arithmetic number, because the mean of its divisors is an integer number (6214197).

Almost surely, 2^82911033 is an apocalyptic number.

It is an amenable number.

82911033 is a deficient number, since it is larger than the sum of its proper divisors (41372907).

82911033 is a wasteful number, since it uses less digits than its factorization.

82911033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 82911033 is about 9105.5495715525. The cubic root of 82911033 is about 436.0511558667.

The spelling of 82911033 in words is "eighty-two million, nine hundred eleven thousand, thirty-three".