82107311 has 16 divisors (see below), whose sum is σ = 97832448. Its totient is φ = 67922400.

The previous prime is 82107257. The next prime is 82107317. The reversal of 82107311 is 11370128.

It is a happy number.

It is not a de Polignac number, because 82107311 - 2¹⁰ = 82106287 is a prime.

It is a super-2 number, since 2×82107311² = 13483221039301442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82107317) 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 15 ways as a sum of consecutive naturals, for example, 6110 + ... + 14196.

It is an arithmetic number, because the mean of its divisors is an integer number (6114528).

Almost surely, 2^82107311 is an apocalyptic number.

82107311 is a deficient number, since it is larger than the sum of its proper divisors (15725137).

82107311 is a wasteful number, since it uses less digits than its factorization.

82107311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 82107311 is about 9061.3084595990. The cubic root of 82107311 is about 434.6375824908.

Adding to 82107311 its reverse (11370128), we get a palindrome (93477439).

The spelling of 82107311 in words is "eighty-two million, one hundred seven thousand, three hundred eleven".