82133223 has 8 divisors (see below), whose sum is σ = 111145728. Its totient is φ = 53938104.

The previous prime is 82133203. The next prime is 82133243. The reversal of 82133223 is 32233128.

It is an interprime number because it is at equal distance from previous prime (82133203) and next prime (82133243).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82133223 - 2¹⁰ = 82132199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82133193 and 82133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82133203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204111 + ... + 204512.

It is an arithmetic number, because the mean of its divisors is an integer number (13893216).

Almost surely, 2^82133223 is an apocalyptic number.

82133223 is a deficient number, since it is larger than the sum of its proper divisors (29012505).

82133223 is a wasteful number, since it uses less digits than its factorization.

82133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408693.

The product of its digits is 1728, while the sum is 24.

The square root of 82133223 is about 9062.7381623878. The cubic root of 82133223 is about 434.6832996722.

The spelling of 82133223 in words is "eighty-two million, one hundred thirty-three thousand, two hundred twenty-three".