82106512237 has 2 divisors, whose sum is σ = 82106512238. Its totient is φ = 82106512236.

The previous prime is 82106512231. The next prime is 82106512273. The reversal of 82106512237 is 73221560128.

Together with next prime (82106512273) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68131962441 + 13974549796 = 261021^2 + 118214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82106512237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82106512196 and 82106512205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82106512231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053256118 + 41053256119.

It is an arithmetic number, because the mean of its divisors is an integer number (41053256119).

Almost surely, 2^82106512237 is an apocalyptic number.

It is an amenable number.

82106512237 is a deficient number, since it is larger than the sum of its proper divisors (1).

82106512237 is an equidigital number, since it uses as much as digits as its factorization.

82106512237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 82106512237 in words is "eighty-two billion, one hundred six million, five hundred twelve thousand, two hundred thirty-seven".