82821111 has 16 divisors (see below), whose sum is σ = 112296288. Its totient is φ = 54288000.

The previous prime is 82821041. The next prime is 82821113. The reversal of 82821111 is 11112828.

It is not a de Polignac number, because 82821111 - 2¹⁴ = 82804727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82821113) 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, 46701 + ... + 48441.

It is an arithmetic number, because the mean of its divisors is an integer number (7018518).

Almost surely, 2^82821111 is an apocalyptic number.

82821111 is a deficient number, since it is larger than the sum of its proper divisors (29475177).

82821111 is a wasteful number, since it uses less digits than its factorization.

82821111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002.

The product of its digits is 256, while the sum is 24.

The square root of 82821111 is about 9100.6104740287. The cubic root of 82821111 is about 435.8934576104.

Adding to 82821111 its reverse (11112828), we get a palindrome (93933939).

The spelling of 82821111 in words is "eighty-two million, eight hundred twenty-one thousand, one hundred eleven".